Solving Matrix Games with I-fuzzy Payoffs: Pareto-optimal Security Strategies Approach
A recent research work of Clemente et al. [12] on Pareto-optimal security strategies (POSS) in matrix games with fuzzy payoffs is extended to I-fuzzy scenario. Besides, the membership and the non-membership functions of the I-fuzzy values for both players are obtained by employing the technique of m...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2014-06-01
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| Series: | Fuzzy Information and Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1616865814000235 |
| _version_ | 1797711686168215552 |
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| author | A. Aggarwal S. Chandra A. Mehra |
| author_facet | A. Aggarwal S. Chandra A. Mehra |
| author_sort | A. Aggarwal |
| collection | DOAJ |
| description | A recent research work of Clemente et al. [12] on Pareto-optimal security strategies (POSS) in matrix games with fuzzy payoffs is extended to I-fuzzy scenario. Besides, the membership and the non-membership functions of the I-fuzzy values for both players are obtained by employing the technique of multiobjective optimization. The presented approach provides an efficient solution to a class of I-fuzzy matrix games with piecewise linear membership and non-membership functions. This class also includes I-fuzzy matrix games with triangular and trapezoidal I-fuzzy numbers as special cases. Further, POSS approach also provides an approximate solution to I-fuzzy matrix games with payoffs as general I-fuzzy numbers. |
| first_indexed | 2024-03-12T07:10:43Z |
| format | Article |
| id | doaj.art-fb7e769686db43ef82c583ffeb507745 |
| institution | Directory Open Access Journal |
| issn | 1616-8658 |
| language | English |
| last_indexed | 2024-03-12T07:10:43Z |
| publishDate | 2014-06-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj.art-fb7e769686db43ef82c583ffeb5077452023-09-02T23:10:21ZengTsinghua University PressFuzzy Information and Engineering1616-86582014-06-016216719210.1016/j.fiae.2014.08.003Solving Matrix Games with I-fuzzy Payoffs: Pareto-optimal Security Strategies ApproachA. Aggarwal0S. Chandra1A. Mehra2University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University, Delhi- 110078, IndiaDepartment of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi- 110016, IndiaDepartment of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi- 110016, IndiaA recent research work of Clemente et al. [12] on Pareto-optimal security strategies (POSS) in matrix games with fuzzy payoffs is extended to I-fuzzy scenario. Besides, the membership and the non-membership functions of the I-fuzzy values for both players are obtained by employing the technique of multiobjective optimization. The presented approach provides an efficient solution to a class of I-fuzzy matrix games with piecewise linear membership and non-membership functions. This class also includes I-fuzzy matrix games with triangular and trapezoidal I-fuzzy numbers as special cases. Further, POSS approach also provides an approximate solution to I-fuzzy matrix games with payoffs as general I-fuzzy numbers.http://www.sciencedirect.com/science/article/pii/S1616865814000235Fuzzy matrix gameIntuitionistic fuzzy setsI-fuzzy payoffsPareto-optimal security strategies |
| spellingShingle | A. Aggarwal S. Chandra A. Mehra Solving Matrix Games with I-fuzzy Payoffs: Pareto-optimal Security Strategies Approach Fuzzy Information and Engineering Fuzzy matrix game Intuitionistic fuzzy sets I-fuzzy payoffs Pareto-optimal security strategies |
| title | Solving Matrix Games with I-fuzzy Payoffs: Pareto-optimal Security Strategies Approach |
| title_full | Solving Matrix Games with I-fuzzy Payoffs: Pareto-optimal Security Strategies Approach |
| title_fullStr | Solving Matrix Games with I-fuzzy Payoffs: Pareto-optimal Security Strategies Approach |
| title_full_unstemmed | Solving Matrix Games with I-fuzzy Payoffs: Pareto-optimal Security Strategies Approach |
| title_short | Solving Matrix Games with I-fuzzy Payoffs: Pareto-optimal Security Strategies Approach |
| title_sort | solving matrix games with i fuzzy payoffs pareto optimal security strategies approach |
| topic | Fuzzy matrix game Intuitionistic fuzzy sets I-fuzzy payoffs Pareto-optimal security strategies |
| url | http://www.sciencedirect.com/science/article/pii/S1616865814000235 |
| work_keys_str_mv | AT aaggarwal solvingmatrixgameswithifuzzypayoffsparetooptimalsecuritystrategiesapproach AT schandra solvingmatrixgameswithifuzzypayoffsparetooptimalsecuritystrategiesapproach AT amehra solvingmatrixgameswithifuzzypayoffsparetooptimalsecuritystrategiesapproach |