N-subalgebras of BCK=BCI-Algebras which are Induced from Hyperfuzzy Structures

Author(s):

H. Bordbar* , M. R. Bordbar , R. A. Borzooei , Y. B. Jun

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In the paper [J. Ghosh and T.K. Samanta, Hyperfuzzy sets and hyperfuzzy group, Int. J. Advanced Sci Tech. 41 (2012), 27–37], Ghosh and Samanta introduced the concept of hyperfuzzy sets as a generalization of fuzzy sets and interval-valued fuzzy sets, and applied it to group theory. The aim of this manuscript is to study N -structures in BCK/BCI-algebras induced from hyperfuzzy structures.

Keywords:

hyperfuzzy set , hyperfuzzy structure , hyperfuzzy subalgebra , N-subalgebra , induced N- function

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:16 Issue: 2, Nov 2021
Pages:
179 to 195
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