- Tytuł:
- A Novel Approach to the Solution of Matrix Games with Payoffs Expressed by Trapezoidal Intuitionistic Fuzzy Numbers
- Autorzy:
-
Verma, T.
Kumar, A.
Kacprzyk, J. - Powiązania:
- https://bibliotekanauki.pl/articles/384798.pdf
- Data publikacji:
- 2015
- Wydawca:
- Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
- Tematy:
-
trapezoidal intuitionistic fuzzy numbers
mathematical programming problem
two person zerosum game
α cut
β cut - Opis:
- We propose a novel approach to the solution of fuzzy matrix games with payoffs given as trapezoidal intuitionistic fuzzy numbers. We extend Li’s [36, Chapter 9] work based on a cut-set based method for finding an optimal solution to overcome the fact that the assumptions and properties assumed therein do not guarantee in general, first, the very existence of an optimal solution, and second, its attainment via a mathematical programming formulation proposed. We first briefly mention those problems in Li’s [36] approach, and then propose a new, corrected and general method, called the Mehar mehod, based on a modified mathematical pro- gramming formulation of a matrix game with payoffs represented by trapezoid intuitionistic fuzzy numbers. For illustration, we solve Li’s [36] example, and compare his and our results.
- Źródło:
-
Journal of Automation Mobile Robotics and Intelligent Systems; 2015, 9, 3; 25-46
1897-8649
2080-2145 - Pojawia się w:
- Journal of Automation Mobile Robotics and Intelligent Systems
- Dostawca treści:
- Biblioteka Nauki
Artykuł