T-evaluators and S-evaluators

  • Authors:
  • Slavka Bodjanova;Martin Kalina

  • Affiliations:
  • Department of Mathematics, Texas A&M University-Kingsville, MSC 172, Kingsville, TX 78363, USA;Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 81368 Bratislava, Slovakia

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2009

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Abstract

The scalar evaluation of the aggregation of elements from a complete lattice via the operation meet (join) is compared with the aggregation of scalar evaluations of these elements via a t-norm (t-conorm). Based on this comparison, the notion of a T-evaluator (S-evaluator) is introduced and its basic properties are studied. The relationship between T-(S-) evaluators, fuzzy measures and generalized filters is investigated. An application of T-evaluators in fuzzy preference modelling is presented.