Criteria and methods of fuzzy sets comparison


  • Yu. A. Zak


The criteria and methods are developed to determine the relative preference, to compare and rank the performance of a decision represented by fuzzy sets. The choice of a specific algorithm for comparing and ranking operations  is determined by the core of the  problem and the subjective preferences of ta decision maker. The approaches are developed on the basis of a comparison of a group of indicators that guarantee an obtaining the desired result, as well as multi-criteria models for solving the formulated problem. The developed models and methods can be widely used in the portfolio selection problems,  in the prospective production planning,  fuzzy regression analysis and mathematical programming  problems with fuzzy data.


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Methods of optimization, optimum control and theory of games