System of bipolar max-drastic product fuzzy relation equations with a drastic negation

Document Type : Research Paper

Authors

School of Mathematics and Computer Sciences, Damghan University, P.O. Box 36715-364, Damghan, Iran

Abstract

This paper investigates the consistency of bipolar max-$ T_{D} $ Fuzzy Relation Equations (FREs) where $ T_{D} $ is the drastic product with a specific drastic negation operator. We firstly study the bipolar max-$ T_{D} $ fuzzy relation equation. Then the special characterizations of its feasible domain and its maximal and minimal solutions are presented. Furthermore, some necessary conditions and sufficient conditions are proposed for the solvability of a system of bipolar max-$ T_D $ FREs. Some examples are also given to illustrate them.

Keywords

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Volume 13, Issue 2
July 2022
Pages 2095-2107
  • Receive Date: 11 January 2021
  • Revise Date: 14 March 2021
  • Accept Date: 18 April 2021