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Quasi-Concave and Nonconcave FMODM Problems

In: Fuzzy Multi-Criteria Decision Making

Author

Listed:
  • Chian-Son Yu

    (Shih Chien University)

  • Han-Lin Li

    (National Chiao Tung University)

Abstract

A membership function may be concave-shaped or convex-shaped. In this chapter, first, concave and convex membership values are analyzed and, in practice, commonly used approaches for solving an fuzzy multi-objective decision-making (FMODM) problem are briefly reviewed. Then, some proposition and remarks are presented to solve a quasi-concave FMODM problem. The proposed method can directly solve a quasi-concave FMODM problem by using standard LP techniques.

Suggested Citation

  • Chian-Son Yu & Han-Lin Li, 2008. "Quasi-Concave and Nonconcave FMODM Problems," Springer Optimization and Its Applications, in: Cengiz Kahraman (ed.), Fuzzy Multi-Criteria Decision Making, pages 339-373, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-76813-7_14
    DOI: 10.1007/978-0-387-76813-7_14
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    Keywords

    Quasi-concave; nonconcave; LP;
    All these keywords.

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