Intuitionistic fuzzy interpretation of a classical formula

The formula ¬A = (A → ((A → A) ∧ ¬(A → A))) is a tautology in the classical propositional logic. In this paper, we determine all intuitionistic fuzzy implications that satisfy this formula together with the classical intuitionistic fuzzy negation or with the negation generated by this implication.

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Publication Details

Journal
Notes on Intuitionistic Fuzzy Sets
Published
2025-11-27
DOI
https://doi.org/10.7546/nifs.2025.31.4.427-440
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00

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article

Intuitionistic fuzzy interpretation of a classical formula

Nora Angelova, Janusz Kacprzyk, Krassimir Atanassov
Notes on Intuitionistic Fuzzy Sets
Advanced Algebra and Logic
article

Intuitionistic fuzzy interpretation of a classical formula

Nora Angelova, Janusz Kacprzyk, Krassimir Atanassov
article en

Abstract

The formula ¬A = (A → ((A → A) ∧ ¬(A → A))) is a tautology in the classical propositional logic. In this paper, we determine all intuitionistic fuzzy implications that satisfy this formula together with the classical intuitionistic fuzzy negation or with the negation generated by this implication.

Notes on Intuitionistic Fuzzy SetsVol. 31(4)
Bulgarian National Science Fund, Bulgarian Academy of Sciences
Openalex Percentile: Top 63%
Advanced Algebra and Logic
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Intuitionistic fuzzy interpretation of a classical formula — Nora Angelova, Janusz Kacprzyk, et al. · Notes on Intuitionistic Fuzzy Sets (2025) | TGRS Research Map | TGRS