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Domination of ordered weighted averaging operators over t-norms

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Abstract

The fusion of transitive fuzzy relations preserving the transitivity is linked to the domination of the involved aggregation operator. The aim of this contribution is to investigate the domination of OWA operators over t-norms whereas the main emphasis is on the domination over the Łukasiewicz t-norm. The domination of OWA operators and related operators over continuous Archimedean t-norms will also be discussed.

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Authors and Affiliations

  1. Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology SK-81 368 Bratislava, Slovakia Institute of Information Theory and Automation, Czech Academy of Sciences,, CZ-182 08, Prague 8, Czech Republic

    R. Mesiar

  2. Fuzzy Logic Laboratorium Linz-Hagenberg, Department of Algebra, Stochastics and Knowledge-Based Mathematical Systems, Johannes Kepler University, A-4040, Linz, Austria

    S. Saminger

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  1. R. Mesiar
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  2. S. Saminger
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Correspondence to R. Mesiar.

Additional information

This work was partly supported by network CEEPUS SK-42, COST Action 274 “TARSKI” and project APVT 20-023402.

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Mesiar, R., Saminger, S. Domination of ordered weighted averaging operators over t-norms. Soft Computing 8, 562–570 (2004). https://doi.org/10.1007/s00500-003-0315-x

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  • DOI: https://doi.org/10.1007/s00500-003-0315-x

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