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On the solvability of bipolar max-product fuzzy relation equations with the standard negation

Authors :
Cornejo, M. Eugenia
Lobo, David
Medina, Jesús
Source :
Fuzzy Sets and Systems 410 (2021) 1-18
Publication Year :
2024

Abstract

Bipolar fuzzy relation equations arise when unknown variables together with their logical negations appear simultaneously in fuzzy relation equations. This paper gives a characterization of the solvability of bipolar max product fuzzy (relation) equations with the standard negation. In addition, some properties associated with the existence of the greatest/least solution or maximal/minimal solutions are shown, when these (relation) equations are solvable. Different examples are included in order to clarify the developed theory.

Subjects

Subjects :
Mathematics - General Mathematics

Details

Database :
arXiv
Journal :
Fuzzy Sets and Systems 410 (2021) 1-18
Publication Type :
Report
Accession number :
edsarx.2410.07197
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.fss.2020.02.010