Max-Min averaging operator: fuzzy inequality systems and resolution

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Ghodousian amin; Azarnejad Tarane; Samie Farnood

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Paper Information

Journal: JOURNAL OF ALGORITHMS AND COMPUTATION Year:2019 | Volume:51 | Issue:1 Page(s): 55-70

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Title

Max-Min averaging operator: fuzzy inequality systems and resolution

Author(s)

Ghodousian amin | Azarnejad Tarane | Samie Farnood | Issue Writer Certificate

Keywords

Fuzzy relation

fuzzy relational inequality

fuzzy compositions and fuzzy averaging operator

Abstract

Minimum and maximum operators are two wellknown t-norm and s-norm used frequently in fuzzy systems. In this paper, two different types of fuzzy inequalities are simultaneously studied where the convex combination of minimum and maximum operators is applied as the Fuzzy relational composition. Some basic properties and theoretical aspects of the problem are derived and four necessary and sufficient conditions are presented. Moreover, an algorithm is proposed to solve the problem and an example is described to illustrate the algorithm.

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APA: Copy

Ghodousian, amin, Azarnejad, Tarane, & Samie, Farnood. (2019). Max-Min averaging operator: fuzzy inequality systems and resolution. JOURNAL OF ALGORITHMS AND COMPUTATION, 51(1), 55-70. SID. https://sid.ir/paper/354572/en

Vancouver: Copy

Ghodousian amin, Azarnejad Tarane, Samie Farnood. Max-Min averaging operator: fuzzy inequality systems and resolution. JOURNAL OF ALGORITHMS AND COMPUTATION[Internet]. 2019;51(1):55-70. Available from: https://sid.ir/paper/354572/en

IEEE: Copy

amin Ghodousian, Tarane Azarnejad, and Farnood Samie, “Max-Min averaging operator: fuzzy inequality systems and resolution,” JOURNAL OF ALGORITHMS AND COMPUTATION, vol. 51, no. 1, pp. 55–70, 2019, [Online]. Available: https://sid.ir/paper/354572/en

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