DOI: 10.12732/ijam.v37i2.1
sup_t^{\alpha}-HESITANT FUZZY
UP-SUBALGEBRAS AND UP-IDEALS
OF UP-ALGEBRAS
Pongpun Julatha 1 , Metawee Songsaeng 2 , Aiyared Iampan 3, §
1 Department of Mathematics
Faculty of Science and Technology
Pibulsongkram Rajabhat University
Phitsanulok - 65000, THAILAND
2,3 Department of Mathematics
School of Science, University of Phayao
Phayao - 56000, THAILAND
Abstract. As a general concept of a sup-hesitant fuzzy UP-subalgebra (resp., UP-filter,
UP-ideal, strong UP-ideal) of a UP-algebra, the concept of a sup_t^{\alpha}-hesitant fuzzy
UP-subalgebra (resp., UP-filter, UP-ideal, strong UP-ideal) is introduced, and the generalizations of these hesitant fuzzy sets are discussed. Moreover, we discuss the relations between the sup_t^{\alpha}-hesitant fuzzy UP-subalgebras (resp., UP-filters, UP-ideals, strong UP-ideals) and their level subsets.
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DOI: 10.12732/ijam.v37i2.1
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 2
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