Title: On solving game problem using octagonal neutrosophic fuzzy number

Authors: R. Narmada Devi; S. Sowmiya

Addresses: Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, Chennai ' Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, Chennai

Abstract: Game theory deals with competitive situations where there are two or more opposing parties with conflicting interests are involved. A competitive situation will be called a game. In this paper, a new approach for selecting the best strategy for increasing the shares for two companies using octagonal neutrosophic fuzzy numbers is proposed. Further, an octagonal neutrosophic fuzzy number to neutrosophic fuzzy number is converted by using deneutrosophication the fuzzy number is obtained by using the fuzzification method. The obtained matrix represents a fuzzy game matrix. This matrix is solved using game theory to obtain the best strategy for these companies.

Keywords: octagonal neutrosophic fuzzy number; ONFN; D^T_NON: de-neutrosophication of trueness; D^I_NON: de-neutrosophication of indeterminacy; D^F_NON: de-neutrosophication of falsity.

DOI: 10.1504/IJOR.2025.143961

International Journal of Operational Research, 2025 Vol.52 No.1, pp.116 - 127

Received: 02 Oct 2021
Accepted: 30 Jan 2022
Published online: 16 Jan 2025 *

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