On (S,N)-Implication Based Dual and A Fuzzy Congruence Axiom of Fuzzy Choice Functions

Authors

  • Laxman Bhagwan Sinkar Department of Mathematics,SOMS, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon https://orcid.org/0009-0004-6476-0962
  • Shrikant Ramesh Chaudhari Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon

DOI:

https://doi.org/10.26713/cma.v17i3.3611

Keywords:

Fuzzy preference relation, fuzzy choice functions, fuzzy consistent closure axioms, fuzzy congruence axioms

Abstract

The existing literature studies fuzzy choice functions and rationality mainly within the
traditional R-implication–t-norm framework. In this paper, we instead analyze the rationality
axioms of fuzzy choice functions using the (S,N)-implication–S-residuum framework.
Within this setting, we introduce different variants of congruence axioms, including dual and
A-type forms, and examine their relationships with coherence axioms.

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Author Biography

  • Shrikant Ramesh Chaudhari, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon

    Department of Mathematics, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon

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Published

September 30, 2026

Issue

Section

Research Article

How to Cite

Laxman Bhagwan Sinkar, & Chaudhari, S. R. (2026). On (S,N)-Implication Based Dual and A Fuzzy Congruence Axiom of Fuzzy Choice Functions. Communications in Mathematics and Applications, 17(3). https://doi.org/10.26713/cma.v17i3.3611