System of bipolar max-drastic product fuzzy relation equations with a drastic negation
نویسندگان
1 School of Mathematics and Computer Sciences, Damghan University, P.O. Box 36715-364, Damghan, Iran
2 School of Mathematics and Computer Sciences, Damghan University, P.O. Box 36715-364, Damghan, Iran
doi
10.22075/ijnaa.2021.22363.2353چکیده
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.
