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Application of Fuzzy Sets in Solving Some Management Problems. Part 1

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Abstract

We consider approaches to making decisions for control problems in nonstandard situations in the absence of previous experience and incomplete knowledge of the considered problem. In such cases we usually cannot do without expert evaluations that lead to the process of group decisionmaking, and it becomes necessary to solve a problem of alternatives aggregation. It has been proposed to solve such problems by means of fuzzy sets. The material of the paper is divided into two parts. In Part 1, an approach is proposed for the processing of quantitative expert evaluations that are used in group decision-making. The approach is based on the coordination index and the similarity of finite collections of fuzzy sets and takes into account the specific character of the fuzzy aggregation operator. The approach is discussed in full detail and its algorithm is presented. An example of the application of the proposed method is given.

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Authors and Affiliations

  1. Georgian Technical University, Tbilisi, Georgia

    A. Prangishvili

  2. Georgian American University, Tbilisi, Georgia

    T. Tsabadze

  3. Tbilisi Teaching University “Gorgasali,”, Tbilisi, Georgia

    T. Tsamalashvili

Authors
  1. A. Prangishvili
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  2. T. Tsabadze
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  3. T. Tsamalashvili
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Corresponding author

Correspondence to A. Prangishvili.

Additional information

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 90, Differential Equations and Mathematical Analysis, 2014.

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Prangishvili, A., Tsabadze, T. & Tsamalashvili, T. Application of Fuzzy Sets in Solving Some Management Problems. Part 1. J Math Sci 208, 661–676 (2015). https://doi.org/10.1007/s10958-015-2476-4

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  • DOI: https://doi.org/10.1007/s10958-015-2476-4

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