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A study on fundamentals of refined intuitionistic fuzzy set with some properties

محل انتشار: نشریه گسترش مجموعه فازی و کاربردهای آن، دوره: 1، شماره: 4
سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 207

فایل این مقاله در 15 صفحه با فرمت PDF قابل دریافت می باشد

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لینک ثابت به این مقاله:
https://civilica.com/doc/1168792

شناسه ملی سند علمی:

JR_JFEA-1-4_003

تاریخ نمایه سازی: 15 فروردین 1400

چکیده مقاله:

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.

کلیدواژه ها:

Fuzzy set ، Intuitionistic fuzzy set ، Refined Intuitionistic Fuzzy Set

نویسندگان

Atiqe Rahman

Department of Mathematics, University of Management and Technology, Lahore, Pakistan.

Muhammad Ahmad

Department of Mathematics, University of Management and Technology, Lahore, Pakistan.

Muhammad Saeed

Department of Mathematics, University of Management and Technology, Lahore, Pakistan.

Muhammad Ahsan

Department of Mathematics, University of Management and Technology, Lahore, Pakistan.

Muhammad Arshad

Department of Mathematics, University of Management and Technology, Lahore, Pakistan.

Muhammad Ihsan

Department of Mathematics, University of Management and Technology, Lahore, Pakistan.

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