Abstract

When handling engineering problems associated with optimal alternative selection a researcher often deals with not sufficiently accurate data. The alternatives are usually assessed by applying several different criteria. A method takes advantage of the relationship between fuzzy sets and matrix game theories can be offered for multicriteria decision-making. Practical investigations have already been discussed for selecting the variants water supply systems.

Highlights

  • Problems of civil engineering, industry and other areas are taking on dimensions that no longer allow satisfactory solution by currently employed methods

  • When handling engineering problems associated with optimal alternative selection a researcher often deals with not sufficiently accurate data

  • The alternatives are usually assessed by applying several different criteria

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Summary

Introduction

Industry and other areas are taking on dimensions that no longer allow satisfactory solution by currently employed methods. Attempts to interpret such problems as conflict situations which could be addressed by games theory have already been reported in the literature (Brams, 1994; Cyras and Vakriniene, 2001; Ghose et al, 2002; Mitkus, 2001; Muschik and Müller, 1986; Peldschus et al, 1983; Peldschus, 1986; Peldschus and Zavadskas, 1997; Peldschus, 2001; Vorobjov, 1967; Winand, 1987; Zavadskas et al, 2002; Zavadskas et al, 2003; Zavadskas et al, 1994; Zavadskas et al, 2004; Zavadskas, 2000) In those cases, use was made of well-known solution procedures assuming definite gain functions. A model of a multicriteria fuzzy game is offered for solving various engineering problems

Classical Matrix Games
Fuzzy Sets
Association Function
Fuzzy Matrix Games
Case Study
Concluding Remarks
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