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A Study on Fundamentals of Refined Intuitionistic Fuzzy Set With Some Properties
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نویسنده
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Ur Rahman Atiqe ,Ahmad Muhammad Rayees ,Saeed Muhammad ,Ahsan Muhammad ,Arshad Muhammad ,Ihsan Muhammad
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منبع
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Journal Of Fuzzy Extension And Applications - 2020 - دوره : 1 - شماره : 4 - صفحه:298 -312
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چکیده
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Zadeh conceptualized the theory of fuzzy set to provide a tool for the basis of the theory of possibility. atanassov extended this theory with the introduction of intuitionistic fuzzy set. smarandache introduced the concept of refined intuitionistic fuzzy set by further subdivision of membership and non-membership value. the meagerness regarding the allocation of a single membership and non-membership value to any object under consideration is addressed with this novel refinement. in this study, this novel idea is utilized to characterize the essential elements e.g. subset, equal set, null set, and complement set, for refined intuitionistic fuzzy set. moreover, their basic set theoretic operations like union, intersection, extended intersection, restricted union, restricted intersection, and restricted difference, are conceptualized. furthermore, some basic laws are also discussed with the help of an illustrative example in each case for vivid understanding.
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کلیدواژه
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Fuzzy Set ,Intuitionistic Fuzzy Set ,Refined Intuitionistic Fuzzy Set
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آدرس
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University Of Management And Technology, Department Of Mathematics, Pakistan, University Of Management And Technology, Department Of Mathematics, Pakistan, University Of Management And Technology, Department Of Mathematics, Pakistan, University Of Management And Technology, Department Of Mathematics, Pakistan, University Of Management And Technology, Department Of Mathematics, Pakistan, University Of Management And Technology, Department Of Mathematics, Pakistan
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پست الکترونیکی
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mihkhb@gmail.com
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Authors
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