Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras

Szczegóły
Opis

Tytuł:: Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras
Autorzy:: Jun, Young Bae
Song, Seok-Zun
Powiązania:: https://bibliotekanauki.pl/articles/750012.pdf
Data publikacji:: 2020
Wydawca:: Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:: Inf-hesitant fuzzy p-ideal
p-semisimple BCI-algebra
Inf-hesitant fuzzy subalgebra
Inf-hesitant fuzzy ideal
Źródło:: Bulletin of the Section of Logic; 2020, 49, 1
0138-0680
2449-836X
Język:: angielski
Prawa:: CC BY-NC-ND: Creative Commons Uznanie autorstwa - Użycie niekomercyjne - Bez utworów zależnych 4.0
Dostawca treści:: Biblioteka Nauki
: Artykuł

Przejdź do źródła

Based on the hesitant fuzzy set theory which is introduced by Torra in the paper [12], the notions of Inf-hesitant fuzzy subalgebras, Inf-hesitant fuzzy ideals and Inf-hesitant fuzzy p-ideals in BCK/BCI-algebras are introduced, and their relations and properties are investigated. Characterizations of an Inf-hesitant fuzzy subalgebras, an Inf-hesitant fuzzy ideals and an Inf-hesitant fuzzy p-ideal are considered. Using the notion of BCK-parts, an Inf-hesitant fuzzy ideal is constructed. Conditions for an Inf-hesitant fuzzy ideal to be an Inf-hesitant fuzzy p-ideal are discussed. Using the notion of Inf-hesitant fuzzy (p-) ideals, a characterization of a p-semisimple BCI-algebra is provided. Extension properties for an Inf-hesitant fuzzy p-ideal is established.

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