A new method to solve linear programming problems in the environment of picture fuzzy sets
محل انتشار: مجله سیستم های فازی، دوره: 19، شماره: 6
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 200
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شناسه ملی سند علمی:
JR_IJFS-19-6_004
تاریخ نمایه سازی: 17 آبان 1401
چکیده مقاله:
Picture fuzzy set is characterized by neutral membership function along with the membership and non-membership functions, and is, therefore, more general than the intuitionistic fuzzy set which is only characterized by membership and non-membership functions. In this paper, first, we are going to point out a drawback and try to fix it by the existing trapezoidal picture fuzzy number. Furthermore, we define an LR flat picture fuzzy number, which is a generalization of trapezoidal picture fuzzy numbers. We also discuss a linear programming model with LR flat picture fuzzy numbers as parameters and variables and present a method to solve these type of problems using a generalized ranking function.
کلیدواژه ها:
Picture fuzzy linear programming problem ، LR flat picture fuzzy numbers ، picture fuzzy numbers ، Ranking function
نویسندگان
M. Akram
Department of Mathematics, University of the Punjab, New Campus, Lahore ۴۵۹۰, Pakistan
I. Ullah
Department of Mathematics, University of the Punjab, New Campus, Lahore ۴۵۹۰, Pakistan
T. Allahviranloo
Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkey