Basic fuzzy arithmetic operations using α–cut for the gaussian membership function
Publish place: Journal of Fuzzy Extension & Applications، Vol: 3، Issue: 4
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JFEA-3-4_006
تاریخ نمایه سازی: 30 مهر 1401
Abstract:
Currently fuzzy set theory has a wide range to model real life problems with incomplete or vague information which perfectly suits the reality and its application is theatrically increasing. This work explored the basic fuzzy operations with the Gaussian Membership using the α-cut method. As it is known that, the Gaussian membership function has a great role in modelling the fuzzy problems this is what impelled to explore its operation which can further be used in analysis of fuzzy problems. Primarily the basic operations which has been discussed here are addition, subtraction, multiplication, division, reciprocal, exponential, logarithmic and nth power.
Keywords:
Fuzzy arithmetic , α–cut and Gaussian membership function
Authors
Leonce Leandry
Department of Mathematics, Faculty of Commerce, Jordan University, Morogoro, Tanzania.
Innocent Sosoma
Department of Mathematics and Computer Science, St Augustine University of Tanzania, Mwanza, Tanzan.
David Koloseni
Department of Mathematics, University of Dar es Salaam, Dar es salaam, Tanzan.
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