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Dhar, Runu, Chakraborty, Abhishek, Chakrabarti, Sumanta. (1405). Results on Two Person Non-Zero-Sum Game in Neutrosophic Environment. پژوهشنامه مدیریت اجرایی, (), -. doi: 10.22080/cjms.2026.32132.1871
Runu Dhar; Abhishek Chakraborty; Sumanta Chakrabarti. "Results on Two Person Non-Zero-Sum Game in Neutrosophic Environment". پژوهشنامه مدیریت اجرایی, , , 1405, -. doi: 10.22080/cjms.2026.32132.1871
Dhar, Runu, Chakraborty, Abhishek, Chakrabarti, Sumanta. (1405). 'Results on Two Person Non-Zero-Sum Game in Neutrosophic Environment', پژوهشنامه مدیریت اجرایی, (), pp. -. doi: 10.22080/cjms.2026.32132.1871
Dhar, Runu, Chakraborty, Abhishek, Chakrabarti, Sumanta. Results on Two Person Non-Zero-Sum Game in Neutrosophic Environment. پژوهشنامه مدیریت اجرایی, 1405; (): -. doi: 10.22080/cjms.2026.32132.1871

Results on Two Person Non-Zero-Sum Game in Neutrosophic Environment

Caspian Journal of Mathematical Sciences
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 آبان 1405
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2026.32132.1871
نویسندگان
Runu Dhar* 1؛ Abhishek Chakraborty1؛ Sumanta Chakrabarti2
1Department of Mathematics, Maharaja Bir Bikram University, College Tilla, Agartala-799004, Tripura, India
2Maharaja Bir Bikram University, College Tilla, Agartala-799004, Tripura, India
تاریخ دریافت: 26 خرداد 1405،  تاریخ بازنگری: 10 مهر 1405،  تاریخ پذیرش: 12 مهر 1405 
چکیده
The main focus of the article is to investigate two person non-zero-sum game in neutrosophic environment to address decision-making problems involving uncertainty, indeterminacy and inconsistent information. Classical game theory as well as fuzzy game models often fail to resolve adequately the indeterminate nature of real-world strategic interactions. The proposed article aims to introduce neutrosophic sets into non-zero-sum game theory, where each player’s strategies and payoffs are characterized by truth, indeterminacy and falsity membership functions. We introduce two person non-zero-sum game and develop suitable solution concepts in neutrosophic environment. We analyze the existence of equilibrium strategies and present computational procedures for determining optimal strategies. We provide numerical examples to demonstrate the applicability and effectiveness of the proposed approach in handling imprecise and ambiguous information. Some theorems of the newly defined game are to be investigated in neutrosophic environment. The findings indicate that the neutrosophic game model offers more flexible and realistic solutions compared to classical and fuzzy non-zero sum games. The study provides the scope of effective and broader applicability of neutrosophic game theory for real- world strategic decision-making problems under uncertainty.
کلیدواژه‌ها
Game؛ non-zero-sum؛ payoff matrix؛ optimal strategy؛ neutrosophic environment
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