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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. Further, the attention if focused on the uninorms where the underlying t-norm and t-conorm is idempotent or induce an involutive negator. Based on the aforementioned results, 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. Further, the attention if focused on the uninorms where the underlying t-norm and t-conorm is idempotent or induce an involutive negator. Based on the aforementioned results, the structure of these classes of uninorms is fully described. (en)
Title
  • On the Structure of Special Classes of Uninorms
  • On the Structure of Special Classes of Uninorms (en)
skos:prefLabel
  • On the Structure of Special Classes of Uninorms
  • On the Structure of Special Classes of Uninorms (en)
skos:notation
  • RIV/67985807:_____/14:00396682!RIV15-GA0-67985807
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  • I, P(GPP201/12/P055)
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  • 1 April
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  • RIV/67985807:_____/14:00396682
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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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  • [8F027F0D86E6]
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  • Fuzzy Sets and Systems
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  • 240
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  • Petrík, Milan
  • Mesiar, R.
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  • 000333946100002
issn
  • 0165-0114
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.fss.2013.09.013
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