Fuzzy arithmetic with requisite constraints

  title={Fuzzy arithmetic with requisite constraints},
  author={George J. Klir},
  journal={Fuzzy Sets and Systems},
The purpose of this paper is to show that the standard fuzzy arithmetic does not take into account known constraints when applied to states of linguistic variables. These constraints, referred to as requisite constraints, represent additional information. When they are ignored, as in the standard fuzzy arithmetic, the obtained results exhibit, in general, information deficiency. It is thus important, as argued in the paper, to revise fuzzy arithmetic to take relevant requisite constraints into… CONTINUE READING
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