MAGHOUT METHOD FOR DETERMINATION OF FUZZY INDEPENDENT, DOMINATING VERTEX SETS AND FUZZY GRAPH KERNELS

Л. С. Берштейн · ALEXANDER V. BOZHENUK

32 citations0/0 files storedInternational Journal of General Systems

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Fuzzy and Soft Set Theory Advanced Graph Theory Research Fuzzy Systems and Optimization

Abstract

Notions of fuzzy independent, dominating sets and kernels of fuzzy graphs are presented in this paper. A method, similar to the Maghout method for nonfuzzy graphs, for finding families of all fuzzy maximal independent sets, minimal dominating sets and kernels of the graph with the highest degree of stability is suggested and substantiated.

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1978Decision-making with a fuzzy preference relation 1984Fuzzy sets and decision analysis 1975AN AXIOMATIC APPROACH TO RATIONAL DECISION MAKING IN A FUZZY ENVIRONMENT††This work was supported by the National Science Foundation Grant GK-36721.1993Fuzzy Screening Systems

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