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Application of linear programming with I-fuzzy sets to matrix games with I-fuzzy goals

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Abstract

In this paper we study a class of linear programming problems having fuzzy goals/constraints that can be described by (Atanassov’s) I-fuzzy sets. Duality theory is developed for this class of problems in the I-fuzzy sense which is subsequently applied to define a new solution concept for two persons zero-sum matrix games with I-fuzzy goals.

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Authors and Affiliations

  1. University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University, Delhi, 110403, India

    A. Aggarwal

  2. Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India

    A. Mehra & S. Chandra

Authors
  1. A. Aggarwal
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  2. A. Mehra
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  3. S. Chandra
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Correspondence to S. Chandra.

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Aggarwal, A., Mehra, A. & Chandra, S. Application of linear programming with I-fuzzy sets to matrix games with I-fuzzy goals. Fuzzy Optim Decis Making 11, 465–480 (2012). https://doi.org/10.1007/s10700-012-9123-z

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  • DOI: https://doi.org/10.1007/s10700-012-9123-z

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