Length-Fuzzy Subalgebras in BCK/BCI-Algebras

  • Jun, Young Bae
  • Song, Seok-Zun
  • Kim, Seon Jeong
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초록

As a generalization of interval-valued fuzzy sets and fuzzy sets, the concept of hyperfuzzy sets was introduced by Ghosh and Samanta in the paper [J. Ghosh and T.K. Samanta, Hyperfuzzy sets and hyperfuzzy group, Int. J. Advanced Sci Tech. 41 (2012), 27-37]. The aim of this manuscript is to introduce the length-fuzzy set and apply it to BCK/BCI-algebras. The notion of length-fuzzy subalgebras in BCK/BCI-algebras is introduced, and related properties are investigated. Characterizations of a length-fuzzy subalgebra are discussed. Relations between length-fuzzy subalgebras and hyperfuzzy subalgebras are established.

키워드

hyperfuzzy sethyperfuzzy subalgebralength of hyperfuzzy setlength-fuzzy subalgebraDECISION-MAKINGAGGREGATIONSETS
제목
Length-Fuzzy Subalgebras in BCK/BCI-Algebras
저자
Jun, Young BaeSong, Seok-ZunKim, Seon Jeong
DOI
10.3390/math6010011
발행일
2018-01
유형
Article
저널명
MATHEMATICS
6
1