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FUZZY PROPER UP-FILTERS OF UP-ALGEBRAS

  • Songsaeng, Metawee (Department of Mathematics, University of Phayao) ;
  • Iampan, Aiyared (Department of Mathematics, University of Phayao)
  • Received : 2018.11.26
  • Accepted : 2019.04.02
  • Published : 2019.09.25

Abstract

The concept of fuzzy sets in UP-algebras was first introduced by Somjanta et al. [Fuzzy sets in UP-algebras; 2016]. In this paper, we introduce and study fuzzy proper UP-filters of UP-algebras and prove their generalizations and characteristic fuzzy sets of proper UP-filters. Moreover, we discuss the relations between fuzzy proper UP-filters and their level subsets.

Keywords

UP-algebra;proper UP-filter;fuzzy proper UP-filter

Acknowledgement

Supported by : University of Phayao

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