A Novel Technique for Solving the Uncertainty under the Environment of Neutrosophic Theory of Choice
Subject Areas : Transactions on Fuzzy Sets and Systems
Tabasam
Rashid
1
(Department of Mathematics, University of Management & Technology, Lahore, Pakistan.)
Aamir
Mehboob
2
(Department of Mathematics, University of Veterinary & Animal Sciences, Lahore, Pakistan.)
Ismat
Beg
3
(Department of Mathematics and Statistical Sciences, Lahore School of Economics, Lahore, Pakistan. )
Keywords: Fuzzy set, Neutrosophic set, Neutrosophic probability, Game theory, Focus theory.,
Abstract :
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.
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