Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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FUZZY PARTIAL ORDER RELATIONS AND FUZZY LATTICES

  • Chon, Inheung (Department of Mathematics Seoul Women's University)
  • Received : 2009.08.14
  • Published : 2009.12.30
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Abstract

We characterize a fuzzy partial order relation using its level set, find sufficient conditions for the image of a fuzzy partial order relation to be a fuzzy partial order relation, and find sufficient conditions for the inverse image of a fuzzy partial order relation to be a fuzzy partial order relation. Also we define a fuzzy lattice as fuzzy relations, characterize a fuzzy lattice using its level set, show that a fuzzy totally ordered set is a distributive fuzzy lattice, and show that the direct product of two fuzzy lattices is a fuzzy lattice.

Keywords

Acknowledgement

Supported by : Seoul Women’s University

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