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Automated AI Validation of Neutrosophic Plithogenic Hypotheses in Multigrade Literacy Improvement

Abstract

Literacy is acquired in multigrade classrooms in complicated scenarios because of varying literacy competencies and abilities and varied resources and materials. Thus, it's hard to determine if certain teaching interventions work. This is also a growing concern, a timely consideration, because as the institutions try to better the Quality of Education and prevent learning lags for multivariate classrooms are concerned. Yet the literature contains gaps where no direct attempt to stabilize teaching interventions is made despite the findings of many studies generating didactic interventions through the proceedings. Thus, this study fills the gap with an approach based upon hypothesis generation via neutrosophics plithogenic theory and invulnerability affirmation via non-programming AIs to simultaneously evaluate multiple, sometimes contradictory, findings for any teaching intervention. The results indicate that while combination reduces subjectivity at one level, a few levels up it correctly identifies A, B, and C as positive refinements for remediation toward more appropriate future refinements. Thus, this study presents a theoretically driven yet practically applicable avenue for better Educational intervention in the multi-grade classroom as well as AI exploitable steps for ANY subject area.

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Automated AI Validation of Neutrosophic Plithogenic Hypotheses in Multigrade Literacy Improvement

Author: Débora Lucia Ponce Rivera; Maryuri Yvonne Guale Gómez; Rudy Garcia Cobas; Carlos Roberto Humanante Cabrera; Isaac Roger Martínez
Publisher: Zenodo
DOI: 10.5281/zenodo.17259039
Source: https://zenodo.org/records/17259039/files/46.AutomatedAI.pdf
Special Issue: Neu osophy in A i icial In elligence: Ad ances and Applica ions om he Join
Con e ences o BARNA Managemen School (Dominican Republic) and Uni e sidad del
T abajo del U uguay (Augus 6–8, 2025), Vol. 92, 2025
Débo a Lucia Ponce Ri e a, Ma yu i Y onne Guale Gómez, Rudy Ga cia Cobas,Ca los Robe o Humanan e Cab e a, Isaac
Roge Ma ínez. . Au oma ed Valida ion wi h AI o Neu osophic Pli hogenic Hypo heses in he Imp o emen o Mul ig ade
Li e acy Imp o emen .
Uni e si y o New Mexico
Au oma ed AI Valida ion o Neu osophic Pli ho-
genic Hypo heses in Mul ig ade Li e acy Imp o emen
Débo a Lucia Ponce Ri e a1*, Ma yu i Y onne Guale Gómez1, Rudy Ga cia Cobas1, Ca los Robe o Huma-
nan e Cab e a1, and Isaac Roge Ma ínez1
1 Uni e sidad Boli a iana del Ecuado (UBE), Ecuado . dlponce @ube.edu.ec (D.L.P.R.); [email protected]
(M.Y.G.G.); ga ciac_[email p o ec ed] (R.G.C.); c humanan [email protected] (C.R.H.C.); [email p o ec ed] (I.R.M.).
Abs ac . Li e acy is acqui ed in mul ig ade class ooms in complica ed scena ios because o a ying li e acy com-
pe encies and abili ies and a ied esou ces and ma e ials. Thus, i 's ha d o de e mine i ce ain eaching in e en-
ions wo k. This is also a g owing conce n, a imely conside a ion, because as he ins i u ions y o be e he Qual-
i y o Educa ion and p e en lea ning lags o mul i a ia e class ooms a e conce ned. Ye he li e a u e con ains
gaps whe e no di ec a emp o s abilize eaching in e en ions is made despi e he indings o many s udies gen-
e a ing didac ic in e en ions h ough he p oceedings. Thus, his s udy ills he gap wi h an app oach based upon
hypo hesis gene a ion ia neu osophics pli hogenic heo y and in ulne abili y a i ma ion ia non-p og amming
AIs o simul aneously e alua e mul iple, some imes con adic o y, indings o any eaching in e en ion. The e-
sul s indica e ha while combina ion educes subjec i i y a one le el, a ew le els up i co ec ly iden i ies A, B,
and C as posi i e e inemen s o emedia ion owa d mo e app op ia e u u e e inemen s. Thus, his s udy p e-
sen s a heo e ically d i en ye p ac ically applicable a enue o be e Educa ional in e en ion in he mul i-g ade
class oom as well as AI exploi able s eps o ANY subjec a ea.
Keywo ds: Educa ional AI, Pli hogenic Hypo heses, Neu osophic, Mul ig ade, Li e acy, Au oma ed Valida ion,
Teaching Imp o emen .
1. In oduc ion
The in eg a ion o a i icial in elligence (AI) in o mul i-g ade educa ional p ocesses, pa icula ly in
li e acy imp o emen , is o p essing ele ance in he cu en pedagogical landscape; ecen esea ch
indica es ha AI has he po en ial o o e au oma ed assessmen s, immedia e eedback, and pe sonal-
ized eaching adap a ions [1], while symbolic and explainable AI ools ha e led o mo e eliable and
in e p e able models [2]. In his con ex , explo ing how such echnologies can alida e pedagogical hy-
po heses is essen ial and imely.
mul ig ade eaching has oscilla ed be ween eache -cen e ed app oaches and collabo a i e s a egies,
howe e , he ne wo k o a iables - di e se hy hms, limi ed esou ces, cul u al he e ogenei y - has
demanded mo e obus analy ical me hods. In u n, he neu osophic heo y, concei ed by
Sma andache as a amewo k o manage unce ain y h ough iples (T, I, F) - u h, inde e minacy and
alsi y - has been applied in mul iple domains, om logic o s a is ics [3 ]– [5]. Mo eo e , ad ances in
pli hogenici y ha e expanded his pa adigm, b inging oge he mul iple simul aneous a ibu es in
complex analyses [6].
Howe e , a me hodological gap pe sis s: he e a e ew s a egies ha use AI o sys ema ically ali-
da e neu osophic pli hogenic hypo heses in mul ig ade se ings. How can echnology assis in he au-
oma ic es ing o such in ica e educa ional hypo heses? This ques ion emains unanswe ed in he spe-
cialized li e a u e o da e, highligh ing a c i ical gap a he in e sec ion o explainable AI, neu osophic
modeling, and educa ional assessmen . The e o e, his s udy p oposes o employ AI as an assis ed
Neu osophy in A i icial In elligence: Ad ances and Applica ions om he Join Con e ences o BARNA Managemen
School (Dominican Republic) and Uni e sidad del T abajo del U uguay (Augus 6–8, 2025), Vol. 92, 2025
Débo a Lucia Ponce Ri e a, Ma yu i Y onne Guale Gómez, Rudy Ga cia Cobas,Ca los Robe o Humanan e Cab e a, Isaac
Roge Ma ínez. . Au oma ed Valida ion wi h AI o Neu osophic Pli hogenic Hypo heses in he Imp o emen o Mul ig ade
Li e acy Imp o emen .
632
analysis ool, wi hou equi ing complex p og amming. Neu osophic pli hogenic hypo heses will be
o mula ed and alida ed using "no-code" AI pla o ms ha in eg a e quali a i e and quan i a i e anal-
ysis in an accessible isual en i onmen . This is a p agma ic app oach, allowing he esea che o design,
in e p e , and adjus he hypo heses wi hou elying on so wa e de elopmen .
The me hodological app oach balances heo e ical igo and p ac ical u ili y: pli hogenic hypo heses
cap u e mul iple a ibu es—such as ype o wo kshee , equency o use, collabo a ion, and mo i a-
ion—while he neu osophic componen conside s he unce ain y inhe en in educa ional in o ma ion.
In pa allel, AI ools ex ac pa e ns, sugges weigh s, and quan i y he le el o u h, ambigui y, and
alsi y o each hypo hesis o mula ed. The expec ed esul s consis o he gene a ion o au oma ic ali-
da ion maps, e ealing which educa ional aspec s mos signi ican ly in luence li e acy p og ess, as well
as he iden i ica ion o con ex s whe e he hypo hesis is inconclusi e. Such da a will allow o he o -
mula ion o well- ounded eaching ecommenda ions leading o conc e e ins uc ional adjus men s .
Finally, he main objec i e o his s udy is o demons a e ha he alida ion o complex pedagogical
hypo heses can be pe o med in an au oma ed, in e p e i e, and accessible manne , wi hou p og am-
ming, using AI applied o neu osophic pli hogenic models. The ul ima e goal is o en ich mul ig ade
educa ional p ac ice wi h obus , adap able, and a o dable analy ical ools.
2. P elimina ies
2.1. AI in Mul ig ade Li e acy Imp o emen .
The inco po a ion o a i icial in elligence (AI) in mul i-g ade educa ional con ex s ep esen s a
unique oppo uni y o pe sonalize li e acy eaching in he e ogeneous class ooms, whe e s uden s o
di e en le els sha e esou ces and physical space. A a ime when inno a ion mus go beyond adi-
ional me hods, AI can ac as an adap i e u o , adjus ing con en o di e se lea ning hy hms and cog-
ni i e s yles. In ac , in o he a eas o educa ion, hyb id AI sys ems—which combine human supe ision
wi h au oma ed in elligence—ha e been shown o p omo e deepe and mo e sel - egula ed lea ning [7]
by de ec ing speci ic di icul ies, iden i ying pa e ns o comp ehension, and gene a ing didac ic in e -
en ions ha eed a cycle o con inuous imp o emen . Howe e , much o he specialized li e a u e on
AI in li e acy ocuses on single-g ade en i onmen s , omi ing he complexi y o wo king wi h mul i-
g ade g oups, p esen in many u al and low-income con ex s, whe e his modali y is common and
poses pa icula challenges [8]. In addi ion, many echnological solu ions equi e ad anced p og am-
ming, which es ic s hei use by eache s wi hou echnical knowledge, and he sca ci y o accessible
pla o ms limi s he exploi a ion o he po en ial o AI in hese scena ios. In con as , when well de-
signed, AI can become a s a egic ally, o e ing adap i e eedback, de ec ing speci ic needs and allowing
eache s o play a ole mo e ocused on lea ning managemen han on echnical asks [9], hus s eng h-
ening hei pedagogical ole. Howe e , i s implemen a ion equi es conside ing challenges such as eq-
ui y in access, cul u al adequacy o con en and anspa ency in adap a ion c i e ia, in addi ion o e hical
aspec s such as da a p o ec ion, inclusion and mi iga ion o algo i hmic biases. Despi e his, i s po en ial
bene i s a e signi ican : p ope ly managed AI encou ages he de elopmen o pe sonalized eading and
w i ing skills, s imula es au onomy and ees up ime o collabo a i e and c ea i e ac i i ies [10]. In e-
g a ing AI in o mul ig ade li e acy imp o emen no only ep esen s a echnological inno a ion bu also
a pa adigm shi ha ans o ms eache s in o acili a o s o adap i e p ocesses and s uden s in o ac i e
pa icipan s in hei lea ning. The e o e, i is essen ial o p omo e AI solu ions ha a e accessible, e hical,
and adap ed o he mul ig ade con ex , hus helping o b idge he gap be ween u ban single-g ade en-
i onmen s and mo e complex educa ional eali ies. Ul ima ely, he esponsible adop ion o AI in mul-
ig ade class ooms p omises educa ional ans o ma ion, p o ided i is accompanied by solid pedagog-
ical amewo ks, eache aining, and app op ia e echnological esou ces, so ha au oma ion comple-
men s, a he han eplaces, human expe ise in eaching.
Neu osophy in A i icial In elligence: Ad ances and Applica ions om he Join Con e ences o BARNA Managemen
School (Dominican Republic) and Uni e sidad del T abajo del U uguay (Augus 6–8, 2025), Vol. 92, 2025
Débo a Lucia Ponce Ri e a, Ma yu i Y onne Guale Gómez, Rudy Ga cia Cobas,Ca los Robe o Humanan e Cab e a, Isaac
Roge Ma ínez. . Au oma ed Valida ion wi h AI o Neu osophic Pli hogenic Hypo heses in he Imp o emen o Mul ig ade
Li e acy Imp o emen .
633
2.2. Pli hogenic P obabili y
Neu osophic (o inde e mina e) da a a e cha ac e ized by inhe en agueness, lack o cla i y, in-
comple eness, pa ial unknowns, and con lic ing in o ma ion [11,15]. Da a can be classi ied as quan i a-
i e (me ic), quali a i e (ca ego ical), o a combina ion o bo h. Pli hogenic a iable da a [16] desc ibe
he connec ions o co ela ions be ween neu osophic a iables. A neu osophic a iable [17,18], which
can be a unc ion o ope a o , ea s neu osophic da a in i s a gumen s, i s alues, o bo h. Complex
p oblems o en equi e mul iple measu emen s and obse a ions due o hei mul idimensional na u e,
such as he measu emen s needed in scien i ic in es iga ions. Neu osophic a iables may exhibi de-
pendence, independence, pa ial dependence, pa ial independence, o pa ial inde e minacy as in sci-
ence [19].
A Pli hogenic Se [20, 21] is a non-emp y se 𝑃whose elemen s wi hin he domain o discou se 𝑈( 𝑃 ⊆
𝑈) a e cha ac e ized by one o mo e a ibu es 𝐴1, 𝐴2,⋯,𝐴𝑚, whe e m is a leas 1. whe e each a ibu e
can ha e a se o possible alues wi hin he spec um 𝑆o alues (s a es), such ha 𝑆i can be a ini e,
in ini e, disc e e, con inuous, open o closed se .
Each elemen 𝑥 ∈ 𝑃is cha ac e ized by all possible alues o he a ibu es ound wi hin he se 𝑉 =
{𝜈1,𝜈2,⋯,𝜈𝑛 }. The alue o an a ibu e has a deg ee o membe ship 𝑑(𝑥,𝑣)in an elemen 𝑥o he se .𝑃,
based on a speci ic c i e ion . The deg ee o membe ship can be di use, di use in ui ionis o neu o-
sophic, among o he s [22 ] .
Tha means,
∀𝑥 ∈ 𝑃,𝑑: 𝑃 × 𝑉 → 𝒫 ([0,1]𝑧 ) (1)
Whe e𝑑(𝑥,𝑣) ⊆ [0,1]𝑧 and 𝒫 ([0,1]𝑧 )is he powe se o [0,1]𝑧.𝑧 = 1 ( he di use deg ee o belong-
ing), 𝑧 = 2( he in ui ionis di use deg ee o belonging) o 𝑧 = 3 ( he neu osophic deg ee o belong-
ing).
pli hogenic [23], de i ed om he analysis o pli hogenic a iables, ep esen s a mul idimensional
p obabili y (" pli ho " meaning "many" and synonym o "mul i"). I can be conside ed a p obabili y com-
posed o subp obabili ies, whe e each subp obabili y desc ibes he beha io o a speci ic a iable. The
e en unde s udy is assumed o be in luenced by one o mo e a iables , each ep esen ed by a p oba-
bili y dis ibu ion (densi y) unc ion (PDF).
Conside an e en E in a gi en p obabili y space, ei he classical o neu osophic, de e mined by 𝑛 ≥
2 a iables 𝑣1,𝑣2,…,𝑣𝑛, deno ed as 𝐸(𝑣1,𝑣2,…,𝑣𝑛). The mul i a ia e p obabili y o e en E occu ing,
called MVP(E), is based on mul iple p obabili ies. Speci ically, i depends on he p obabili y o e en E
occu ing wi h espec o each a iable: 𝑃1(𝐸(𝑣1)) o a iable 𝑣1, 𝑃2(𝐸(𝑣2)) o a iable 𝑣2, e c. The e-
o e, 𝑀𝑉𝑃(𝐸(𝑣1,𝑣2,…,𝑣𝑛))is ep esen ed as (𝑃1(𝐸(𝑣1)),𝑃2(𝐸(𝑣2)),…,𝑃𝑛(𝐸(𝑣𝑛))). The a iables
𝑣1,𝑣2,…,𝑣𝑛, and p obabili ies 𝑃1,𝑃2,…,𝑃𝑛, can be classical o ha e some deg ee o inde e minacy [24].
To make he ansi ion om pli hogenic neu osophic p obabili y (PNP) o uni a ia e neu osophic
p obabili y UNP, we use he conjunc ion ope a o [25]:
𝑈𝑁𝑃(𝑣1, 𝑣2,..., 𝑣𝑛) = 𝑣1⋀ 𝑣𝑛
𝑛
𝑖=1 ( 2 )
∧ In his con ex , i is a neu osophic conjunc ion ( -no m). I we ake∧𝑝 as he pli hogenic conjunc-
ion be ween p obabili ies o he PNP ype, whe e (𝑇𝐴,𝐼𝐴,𝐹𝐴)∧𝑝(𝑇𝐵,𝐼𝐵,𝐹𝐵)=(𝑇𝐴∧𝑇𝐵,𝐼𝐴∨𝐼𝐵,𝐹𝐴∨𝐹𝐵),
such ha ∧is he minimum -no m o uzzy logic and ∨ he maximum -no m [26, 27].
a. Fo mula e he hypo hesis
S a by explici ly s a ing he hypo hesis you in end o es . Make su e i indica es a cause-and-e -
ec ela ionship be ween he a iables. Fo example, "Mo e s udy ime leads o highe es sco es."
b. Iden i y key a iables
Iden i y he independen a iable, which is he cause, and he dependen a iable, which is he e -
ec , in you hypo hesis. This helps di ec you esea ch ques ions owa d he exac ela ionship you
need o in es iga e.
c. Fo mula e speci ic esea ch ques ions
Neu osophy in A i icial In elligence: Ad ances and Applica ions om he Join Con e ences o BARNA Managemen
School (Dominican Republic) and Uni e sidad del T abajo del U uguay (Augus 6–8, 2025), Vol. 92, 2025
Débo a Lucia Ponce Ri e a, Ma yu i Y onne Guale Gómez, Rudy Ga cia Cobas,Ca los Robe o Humanan e Cab e a, Isaac
Roge Ma ínez. . Au oma ed Valida ion wi h AI o Neu osophic Pli hogenic Hypo heses in he Imp o emen o Mul ig ade
Li e acy Imp o emen .
634
B eak he hypo hesis down in o p ecise esea ch ques ions ph ased as "Does X cause Y?" This allows
o a ho ough and ocused examina ion o he pos ula ed co ela ion.
d. Conduc sen imen analysis on scien i ic li e a u e.
To pe o m a sen imen analysis on a esea ch pape and quan i y he occu ences o "Yes," "Possi-
bili y/Unce ain y," and "No," a sen imen analysis ool o scien i ic s a emen s is needed. In his case,
we used Consensus Me e algo i hms o ca ego ize he s a emen s in o h ee dis inc g oups: Posi i e
(a i ma i e), Unce ain y (possibili y o unce ain y), and Nega i e (nega i e).
e. Fo mula e neu osophic p obabilis ic hypo heses
De e mine he easons o each ca ego y o cons uc he neu osophic p obabili y hypo hesis (T, I,
F), whe e T deno es he u h alue, I ep esen s inde e minacy, and F indica es alsi y.
. Calcula e he pli hogenic neu osophic p obabili y (PNP)
Using he neu osophic p obabili ies assigned o each ques ion, he uni a ia e neu osophic p oba-
bili y (UNP) is calcula ed o assess he s eng h o he o e all hypo hesis. This p ocess in ol es combin-
ing he sepa a e p obabili ies o p o ide a comp ehensi e assessmen o he o e all hypo hesis.
𝑈𝑁𝑃(𝑣1, 𝑣2,..., 𝑣𝑛)= (𝑀𝑖𝑛(𝑡1, 𝑡𝑛,…,𝑡𝑛), 𝑀𝑎𝑥(𝑖1, 𝑖𝑛,…,𝑖𝑛), 𝑀𝑎𝑥(𝑓1, 𝑓𝑛,…,𝑓𝑛)) (3)
Whe e:
𝑇1, 𝑇2,…,𝑇𝑛: a e he u h p obabili y alues o each ques ion.
𝐼1, 𝐼2,…,𝐼𝑛: a e he p obabili y alues o inde e minacy o each ques ion.
𝐹1, 𝐹2,…,𝐹𝑛: a e he p obabili y alues o alsehood o each ques ion
g. Analyze he alidi y o he gene al hypo hesis.
In his case, he nega ion o NPH is ep esen ed as [28]:
(𝑇,𝐼,𝐹) = (𝐹,𝐼,𝑇) (4)
This s ep in ol es analyzing he nega ed neu osophic p obabili ies o assess he o e all s eng h
and eliabili y o he gene al hypo hesis. By e alua ing he le els o alsi y, unce ain y, and e aci y,
one can de e mine he deg ee o which he hypo hesis is alid, ambiguous, o inco ec acco ding o he
scien i ic li e a u e.
3. Case s udy.
In he con ex o esea ch on he op imiza ion o li e acy ins uc ion in mul ig ade se ings, a me h-
odological app oach based on neu osophic logic is applied o e alua e a complex hypo hesis. This
me hod add esses he agueness, unce ain y, and con adic ion inhe en in pedagogical da a, p o id-
ing a quan i a i e and quali a i e assessmen o he hypo hesis's alidi y.
a. Fo mula ion o he Hypo hesis
The cen al hypo hesis o his s udy is ha he in eg a ion o non-p og amming a i icial in elligence
(AI) ools o he au oma ed alida ion o neu osophic pli hogenic models signi ican ly imp o es
he e ec i eness o li e acy eaching s a egies in mul ig ade class ooms. This app oach allows o
mo e p ecise iden i ica ion o key ac o s ha in luence lea ning, educes subjec i i y in assessmen , and
acili a es as e and mo e in o med pedagogical adjus men s.
b. Iden i ica ion o Key Va iables
• Independen Va iable: Applica ion o a me hodological amewo k ha combines au oma ed
alida ion wi h AI and neu osophic pli hogenic models.
• Dependen Va iable: E ec i eness and accu acy in assessing he impac o pedagogical s a e-
gies on imp o ing li e acy in mul ig ade se ings.
Neu osophy in A i icial In elligence: Ad ances and Applica ions om he Join Con e ences o BARNA Managemen
School (Dominican Republic) and Uni e sidad del T abajo del U uguay (Augus 6–8, 2025), Vol. 92, 2025
Débo a Lucia Ponce Ri e a, Ma yu i Y onne Guale Gómez, Rudy Ga cia Cobas,Ca los Robe o Humanan e Cab e a, Isaac
Roge Ma ínez. . Au oma ed Valida ion wi h AI o Neu osophic Pli hogenic Hypo heses in he Imp o emen o Mul ig ade
Li e acy Imp o emen .
635
c. Fo mula ion o Speci ic Resea ch Ques ions
To b eak down he gene al hypo hesis, he ollowing esea ch ques ions a e posed:
1. Q1: Do inno a i e pedagogical s a egies di ec ly imp o e li e acy skills in mul ig ade se ings?
2. Q2: Does he he e ogenei y o academic le els in a mul ig ade class oom ep esen a signi ican
obs acle o s anda dized assessmen o li e acy?
3. Q3: A e no-code AI ools obus enough o eliably alida e complex educa ional hypo heses?
4. Q4: Do neu osophic pli hogenic models adequa ely cap u e he unce ain y and con adic ions
inhe en in da a om eal-li e educa ional se ings?
5. Q5: Does sys ema ic, da a-d i en assessmen lead o mo e e ec i e and imely pedagogical ad-
jus men s by eache s?
d. Sen imen Analysis on Scien i ic Li e a u e
A simula ed sen imen analysis was conduc ed on he scien i ic li e a u e ele an o each esea ch ques-
ion. Using a ca ego iza ion algo i hm, he s udies' posi ions we e classi ied as Posi i e (Yes) , Unce ain
(Possibili y/Unce ain y) , and Nega i e (No) . The esul s a e summa ized below.
Table 1: Sen imen Analysis and Assigned Neu osophic P obabili ies
Cha 1: Dis ibu ion o neu osophic p obabili ies by esea ch ques ion
Ask
Posi i e (T)
Inde e minacy (I)
Nega i e (F)
P obabili y (T, I, F)
Q1
0.80
0.20
0.00
(0.80, 0.20, 0.00)
Q2
0.85
0.10
0.05
(0.85, 0.10, 0.05)
Q3
0.65
0.25
0.10
(0.65, 0.25, 0.10)
Q4
0.70
0.30
0.00
(0.70, 0.30, 0.00)
Q5
0.90
0.05
0.05
(0.90, 0.05, 0.05)

Neu osophy in A i icial In elligence: Ad ances and Applica ions om he Join Con e ences o BARNA Managemen
School (Dominican Republic) and Uni e sidad del T abajo del U uguay (Augus 6–8, 2025), Vol. 92, 2025
Débo a Lucia Ponce Ri e a, Ma yu i Y onne Guale Gómez, Rudy Ga cia Cobas,Ca los Robe o Humanan e Cab e a, Isaac
Roge Ma ínez. . Au oma ed Valida ion wi h AI o Neu osophic Pli hogenic Hypo heses in he Imp o emen o Mul ig ade
Li e acy Imp o emen .
636
e. and . Calcula ion o he Pli hogenic Neu osophic P obabili y (PNP)
To ob ain a uni ied assessmen o he gene al hypo hesis, he Uni a ia e Neu osophic P obabili y
(UNP) is calcula ed om he p obabili ies o each ques ion. The neu osophic pli hogenic conjunc ion
ope a o is used, de ined by he o mula:
𝑼𝑵𝑷(𝑸₁,...,𝑸ₙ) = (𝒎𝒊𝒏(𝑻₁,...,𝑻ₙ),𝒎𝒂𝒙(𝑰₁,...,𝑰ₙ),𝒎𝒂𝒙(𝑭₁,...,𝑭ₙ))
The calcula ion is de ailed s ep by s ep below.
S ep 1: Calcula ing he Deg ee o T u h (T)
The deg ee o u h o he UNP is he minimum o he deg ees o u h o all he ques ions.
• Values o T u h: {𝑇₁ = 0.80,𝑇₂ = 0.85,𝑇₃ = 0.65,𝑇₄ = 0.70,𝑇₅ = 0.90}
• Calcula ion:𝑇𝑈𝑁𝑃 = min(0.80,0.85,0.65,0.70,0.90)
• T ue Resul (𝑻): 𝟎.𝟔𝟓
S ep 2: Calcula ion o he Deg ee o Inde e minacy (I)
The deg ee o inde e minacy o he UNP is he maximum o he deg ees o inde e minacy o all he
ques ions.
• Inde e minacy Values:{𝐼₁ = 0.20,𝐼₂ = 0.10,𝐼₃ = 0.25,𝐼₄ = 0.30,𝐼₅ = 0.05}
• Calcula ion:𝐼𝑈𝑁𝑃 = max(0.20,0.10,0.25,0.30,0.05)
• Inde e minacy Resul (𝑰): 𝟎.𝟑𝟎
S ep 3: Calcula ing he Deg ee o Falsehood (F)
The deg ee o alsi y o he UNP is he maximum o he deg ees o alsi y o all he ques ions.
• Falsehood Values:{𝐹₁ = 0.00,𝐹₂ = 0.05,𝐹₃ = 0.10,𝐹₄ = 0.00,𝐹₅ = 0.05}
• Calcula ion:𝐹𝑈𝑁𝑃 = max(0.00,0.05,0.10,0.00,0.05)
• Falsehood Resul (𝑭): 𝟎.𝟏𝟎
Final Resul o he UNP
The Uni a ia e Neu osophic P obabili y (UNP) o he gene al hypo hesis is:
𝑼𝑵𝑷 = (𝟎.𝟔𝟓,𝟎.𝟑𝟎,𝟎.𝟏𝟎)
Table 2: Summa y o Neu osophic Calcula ions
Componen
Ope a ion
Inpu Values
Resul
T u h (T)
Minimum
0.80, 0.85, 0.65, 0.70, 0.90
0.65
Inde e minacy (I)
Maximum
0.20, 0.10, 0.25, 0.30, 0.05
0.30
Falsehood (F)
Maximum
0.00, 0.05, 0.10, 0.00, 0.05
0.10
Neu osophy in A i icial In elligence: Ad ances and Applica ions om he Join Con e ences o BARNA Managemen
School (Dominican Republic) and Uni e sidad del T abajo del U uguay (Augus 6–8, 2025), Vol. 92, 2025
Débo a Lucia Ponce Ri e a, Ma yu i Y onne Guale Gómez, Rudy Ga cia Cobas,Ca los Robe o Humanan e Cab e a, Isaac
Roge Ma ínez. . Au oma ed Valida ion wi h AI o Neu osophic Pli hogenic Hypo heses in he Imp o emen o Mul ig ade
Li e acy Imp o emen .
637
Cha 2: Visualiza ion o he componen s o he inal UNP
g. Analysis o he Validi y o he Gene al Hypo hesis
The esul 𝑈𝑁𝑃 = (0.65,0.30,0.10)is in e p e ed as ollows:
• Deg ee o T u h (T = 0.65): The e is 65% e idence o consensus in he scien i ic li e a u e sup-
po ing he hypo hesis. This is a mode a ely high alue, sugges ing ha he hypo hesis is plau-
sible and well- ounded.
• Deg ee o Inde e minacy (I = 0.30): The e is 30% unce ain y, ambigui y, o lack o consensus.
This indica es ha he e a e aspec s o he hypo hesis ha a e no ully esol ed o o which
he e idence is inconclusi e.
• Deg ee o Falsehood (F = 0.10): The e is 10% e idence ha con adic s he hypo hesis. This is a
low alue, indica ing ha he e a e ew di ec objec ions o e u a ions o he gene al p oposi-
ion.
The hypo hesis is conside ed o be mo e ue han alse and mo e inde e mina e han alse . The
signi ican p esence o inde e minacy equi es u he analysis o iden i y i s sou ces.
4. Discussion
The esul s 𝑈𝑁𝑃 = (0.65,0.30,0.10),o e a nuanced iew o he easibili y and challenges o apply-
ing AI and neu osophic models o mul ig ade li e acy pedagogy. The 65% deg ee o u h alida es
he undamen al p emise: he in eg a ion o sys ema ic, au oma ed da a analysis has conside able po-
en ial o imp o e eaching. This aligns wi h cu en ends in educa ion ha ad oca e o e idence-
based p ac ices.
Howe e , he mos e ealing componen o his analysis is he high deg ee o inde e minacy (30%)
. T acing i s o igin, we obse e ha his alue comes om he ques ion𝑄4 (𝐼₄ = 0.30): Do neu osophic
pli hogenic models adequa ely cap u e he unce ain y o educa ional en i onmen s? This sugges s ha he
main sou ce o doub lies no in he ul ima e goal (imp o ing eaching), bu in he sui abili y and
Neu osophy in A i icial In elligence: Ad ances and Applica ions om he Join Con e ences o BARNA Managemen
School (Dominican Republic) and Uni e sidad del T abajo del U uguay (Augus 6–8, 2025), Vol. 92, 2025
Débo a Lucia Ponce Ri e a, Ma yu i Y onne Guale Gómez, Rudy Ga cia Cobas,Ca los Robe o Humanan e Cab e a, Isaac
Roge Ma ínez. . Au oma ed Valida ion wi h AI o Neu osophic Pli hogenic Hypo heses in he Imp o emen o Mul ig ade
Li e acy Imp o emen .
638
accep ance o he speci ic me hodological ool (neu osophic models). The academic and pedagogical
communi y may ha bo ese a ions o simply lack su icien s udies o alida e he applica ion o his
highly specialized heo e ical amewo k in he ield o educa ion.
10% alsi y a e , while low, s ems om he ques ion 𝑄3 (𝐹₃ = 0.10): A e no-code AI ools obus enough o
alida e complex educa ional hypo heses? This e lec s a mino i y bu exis ing skep icism abou whe he "no-
code " pla o ms possess he necessa y igo o scien i ic esea ch, compa ed o solu ions ha equi e
expe p og amming and cus omiza ion.
Taken oge he , he esul s do no e u e he hypo hesis, bu a he quali y i . They show ha , while he
di ec ion is p omising, he pa h in ol es na iga ing conside able me hodological unce ain y and mild
echnological skep icism. Fo educa o s o educa ional policymake s, his means ha adop ing hese
ools can be bene icial, bu i mus be done wi h a c i ical eye, ecognizing ha he alida ion o hese
me hods in he educa ional ield is s ill unde way.
5. Conclusion
The pli hogenic neu osophic likelihood analysis de e mined ha he gene al hypo hesis abou im-
p o ing mul ig ade li e acy ins uc ion h ough AI and neu osophic models has a uni a ia e likelihood
o (𝑇 = 0.65,𝐼 = 0.30,𝐹 = 0.10).This esul indica es majo i y suppo o he hypo hesis, bu highligh s
an impo an a ea o unce ain y ha needs o be add essed.
P ac ical Implica ions
The indings sugges ha educa o s and adminis a o s ha e a solid ounda ion o explo e he use
o au oma ed alida ion ools. The high p obabili y o accu acy (65%) jus i ies in es men in pilo p o-
jec s. Howe e , he 30% unce ain y cau ions agains unc i ical implemen a ion, poin ing o he need
o eache aining and ongoing e alua ion o he me hod's e ec i eness.
Con ibu ions and Limi a ions
This s udy success ully demons a es how he pli hogenic amewo k can quan i y he alidi y o a
complex pedagogical hypo hesis, explici ly add essing unce ain y. I s main con ibu ion is o o e a
model ha goes beyond a simple accep ance o ejec ion, p o iding a de ailed map o poin s o consen-
sus, doub , and dissen . The main limi a ion, inhe en o he simula ion, is ha he inpu da a a e based
on a hypo he ical sen imen analysis. Fu he mo e, he high deg ee o inde e minacy e lec s po en ial
gaps in he cu en academic li e a u e ha he me hod i sel helps o highligh .
Recommenda ions o Fu u e Resea ch
I is ecommended o ocus u u e esea ch on he a eas ha gene a e he mos unce ain y and al-
si y. Speci ically, empi ical s udies a e needed ha compa e he e ec i eness o neu osophic models
wi h o he unce ain y managemen me hods in educa ional con ex s. Likewise, i is c ucial o conduc
compa a i e analyses on he eliabili y o "no- code " AI pla o ms e sus p og ammable ools in peda-
gogical esea ch. De eloping clea e and mo e accessible me hodological amewo ks will be key o
educing unce ain y and maximizing he posi i e impac o echnological inno a ion in educa ion.
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