Axiomatic characterizations of threshold choice functions for comparison functions

  • Lahiri S
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Abstract

In this paper we characterize the threshold choice functions associated with comparison functions (= reciprocal fuzzy relations), a special of which is the Orlovsky choice function (with threshold 1/2). Our family of threshold choice functions is somewhat larger than the family of choice functions which select only those alternatives that secure a certain pre-specified proportion of the votes against all other alternatives. Our family of threshold choice functions also include ones which select only those alternatives that exceed a certain pre-specified proportion of the votes against all other alternatives. This is the price we pay for omitting continuity from our axiomatic characterizations. © 2001 Elsevier Science B.V. All rights reserved.

Author-supplied keywords

  • Choice functions
  • Decision analysis
  • Fuzzy relations
  • Group decision-making
  • Multiple criteria evaluation

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Authors

  • Somdeb Lahiri

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