‎A Novel Technique for Solving the Uncertainty under the Environment of Neutrosophic Theory of Choice

Transactions on Fuzzy Sets and Systems

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 آبان 1402   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/tfss.2023.1995175.1084

نویسندگان

Tabasam Rashid^{* 1}؛ Aamir Mehboob²؛ Ismat Beg³

¹Department of Mathematics, University of Management & Technology. Lahore, Pakistan.

²Department of Mathematics, University of Veterinary & Animal Sciences, Lahore, Pakistan

³Department of Mathematics & Statistical Sciences, Lahore School of Economics, Lahore, Pakistan.

چکیده

‎When it comes to solving dynamic‎ ‎programming challenges‎, ‎it is essential to have a well-structured‎ ‎decision theory‎. ‎As a result‎, ‎the decision-makers must operate in a‎ ‎dynamically complicated environment where appropriate and rapid‎ ‎reaction in a cooperative way is the fundamental key to effectively‎ ‎completing the task‎. ‎We express a theory of decision modeling and‎ ‎axiomatizing a decision-making process‎. ‎The payoffs and‎ ‎probabilities are represented with simplified neutrosophic sets‎. ‎We‎ ‎therefore‎, ‎provide the theory of choice with the implementation of‎ ‎simplified neutrosophic sets‎. ‎By exploiting the idea of pure‎ ‎strategy‎, ‎we introduce two steps‎: ‎in the first step‎, ‎for each‎ ‎attractive point‎, ‎some particular event is selected that can bring‎ ‎about a relatively neutrosophic upper payoff with a relatively‎ ‎neutrosophic upper probability or a relatively neutrosophic lower‎ ‎payoff with a relatively neutrosophic upper probability‎. ‎A‎ ‎decision-maker selects the most favored attractive point in the‎ ‎second stage‎, ‎based on the focus on all attractive points‎. ‎Neutrosophic focus theory has been introduced to improve overall‎ ‎performance with more flexibility in complex decision-making‎. ‎The‎ ‎approach suggested in this work has been implemented in a real-life‎ ‎example to determine its effectiveness‎. ‎The proposed method is shown to‎ ‎be the most useful for ranking scenarios and addressing dynamic‎ ‎programming problems in decision-making‎.

کلیدواژه‌ها

Fuzzy set‎؛ ‎Neutrosophic set‎؛ ‎Neutrosophic probability‎؛ ‎Game theory‎؛ ‎Focus theory‎

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