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Aggregation functions and generalized convexity in fuzzy optimization and decision making

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  • Jaroslav Ramík
  • Milan Vlach

Abstract

In this paper triangular norms and conorms are introduced and suitable definitions and properties are mentioned. Then, aggregation functions and their basic properties are defined. The averaging aggregation operators are defined and some interesting properties are derived. Moreover, we have extended concave and quasiconcave functions introducing t-quasiconcave and upper and lower starshaped functions. The main results concerning aggregation of generalized concave functions are presented and some extremal properties of compromise decisions by adopting aggregation operators are derived and discussed. Copyright Springer Science+Business Media, LLC 2012

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  • Jaroslav Ramík & Milan Vlach, 2012. "Aggregation functions and generalized convexity in fuzzy optimization and decision making," Annals of Operations Research, Springer, vol. 195(1), pages 261-276, May.
    • Handle: RePEc:spr:annopr:v:195:y:2012:i:1:p:261-276:10.1007/s10479-011-0965-5
    DOI: 10.1007/s10479-011-0965-5
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    References listed on IDEAS

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    1. Malinvaud, Edmond, 1993. "A framework for aggregation theories," Ricerche Economiche, Elsevier, vol. 47(2), pages 107-135, June.
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    Cited by:

    1. Alessandro Albano & José Luis García-Lapresta & Antonella Plaia & Mariangela Sciandra, 2023. "A family of distances for preference–approvals," Annals of Operations Research, Springer, vol. 323(1), pages 1-29, April.

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