Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras

Young Bae Jun; Seok-Zun Song

Bulletin of the Section of Logic (2020)

  • Volume: 49, Issue: 1
  • ISSN: 0138-0680

Abstract

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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.

How to cite

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Young Bae Jun, and Seok-Zun Song. "Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras." Bulletin of the Section of Logic 49.1 (2020): null. <http://eudml.org/doc/295587>.

@article{YoungBaeJun2020,
abstract = {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.},
author = {Young Bae Jun, Seok-Zun Song},
journal = {Bulletin of the Section of Logic},
keywords = {p-semisimple BCI-algebra; Inf-hesitant fuzzy subalgebra; Inf-hesitant fuzzy ideal; Inf-hesitant fuzzy p-ideal},
language = {eng},
number = {1},
pages = {null},
title = {Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras},
url = {http://eudml.org/doc/295587},
volume = {49},
year = {2020},
}

TY - JOUR
AU - Young Bae Jun
AU - Seok-Zun Song
TI - Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras
JO - Bulletin of the Section of Logic
PY - 2020
VL - 49
IS - 1
SP - null
AB - 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.
LA - eng
KW - p-semisimple BCI-algebra; Inf-hesitant fuzzy subalgebra; Inf-hesitant fuzzy ideal; Inf-hesitant fuzzy p-ideal
UR - http://eudml.org/doc/295587
ER -

References

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