Restricted distributivity for aggregation operators with absorbing element

  • Authors:
  • Dragan JočI;Ivana ŠTajner-Papuga

  • Affiliations:
  • Higher School of Professional Business Studies, Vladimira Peria-Valtera 4, 21000 Novi Sad, Serbia;Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovia 4, 21000 Novi Sad, Serbia

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2013

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Abstract

The problem of restricted distributivity, i.e., a form of relaxed distributivity on the restricted domain, plays an important role in many different fields such as utility theory and integration theory. This paper considers the following two cases of restricted distributivity: (i) a continuous nullnorm with respect to a continuous t-conorm and (ii) a continuous nullnorm with respect to a uninorm of the form U"m"i"n or U"m"a"x with continuous underlying t-norm and t-conorm.