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  • In this paper, the concept of the Reidemeister closure condition is adopted in order to characterize associativity of uninorms with a special attention paid to the class of representable uninorms. Thus, conditions replacing the associativity requirement for such uninorms are given. Fur- ther, structure of uninorms with idempotent and involutive underlying t-norms and t-conorms is investigated. Based on the aforementioned re- sults, the structure of these classes of uninorms is fully described.
  • In this paper, the concept of the Reidemeister closure condition is adopted in order to characterize associativity of uninorms with a special attention paid to the class of representable uninorms. Thus, conditions replacing the associativity requirement for such uninorms are given. Fur- ther, structure of uninorms with idempotent and involutive underlying t-norms and t-conorms is investigated. Based on the aforementioned re- sults, the structure of these classes of uninorms is fully described. (en)
Title
  • On the structure of uninorms with idempotent and involutive underlying t-norms and t-conorms
  • On the structure of uninorms with idempotent and involutive underlying t-norms and t-conorms (en)
skos:prefLabel
  • On the structure of uninorms with idempotent and involutive underlying t-norms and t-conorms
  • On the structure of uninorms with idempotent and involutive underlying t-norms and t-conorms (en)
skos:notation
  • RIV/61988987:17610/14:A1401381!RIV14-MSM-17610___
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  • P(ED1.1.00/02.0070)
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  • 240
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  • 34523
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  • RIV/61988987:17610/14:A1401381
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  • associativity; contour; level set; Reidemeister closure condition; uninorm; web geometry (en)
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  • NL - Nizozemsko
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  • [D0DD91732AA0]
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  • Mesiar, Radko
  • Petrík, Milan
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  • 0165-0114
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  • 17610
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