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β-fuzzy set and some relations on it

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In this paper, we introduced a new extension of the concept of fuzzy set that will be given the name “β-fuzzy set”. β-fuzzy t-norm, β-fuzzy t-conorm and β-fuzzy relations are defined. Some characteristics of β-fuzzy relations like symmetry, transitive and reflexive are intensively studied. Finally, the results on these characteristics are deduced.

Abstract

In this paper, we introduced a new extension of the concept of fuzzy set that will be given the name “β-fuzzy set”. β-fuzzy t-norm, β-fuzzy t-conorm and β-fuzzy relations are defined. Some characteristics of β-fuzzy relations like symmetry, transitive and reflexive are intensively studied. Finally, the results on these characteristics are deduced.

참고문헌 (31)

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