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A new method to solve linear programming problems in the environment of picture fuzzy sets | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 4، دوره 19، شماره 6، بهمن و اسفند 2022، صفحه 29-49 اصل مقاله (331.86 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2022.7208 | ||
نویسندگان | ||
M. Akram1؛ I. Ullah1؛ T. Allahviranloo* 2 | ||
1Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan | ||
2Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkey | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Picture fuzzy linear programming problem؛ $LR$ flat picture fuzzy numbers؛ picture fuzzy numbers؛ ranking function | ||
آمار تعداد مشاهده مقاله: 218 تعداد دریافت فایل اصل مقاله: 373 |