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

	System of bipolar max-drastic product fuzzy relation equations with a drastic negation
International Journal of Nonlinear Analysis and Applications
مقاله 168، دوره 13، شماره 2، مهر 2022، صفحه 2095-2107 اصل مقاله (415.42 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22363.2353
نویسندگان
Fatemeh Hamidirad؛ Ali Abbasi Molai^*
School of Mathematics and Computer Sciences, Damghan University, P.O. Box 36715-364, Damghan, Iran
چکیده
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.
کلیدواژه‌ها
Bipolar Fuzzy Relation Equation؛ Max-drastic product operator؛ Drastic negations؛ Feasible domain
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