Intuitionistic fuzzy ordered subalgebras in ordered BCI-algebras

Eun Hwan Roh; Eunsuk Yang; Young Bae Jun

doi:10.29020/nybg.ejpam.v16i3.4832

Intuitionistic fuzzy ordered subalgebras in ordered BCI-algebras

Eun Hwan Roh^*
, Eunsuk Yang
, Young Bae Jun

^*Corresponding author for this work

Department of Philosophy

Chinju National University of Education
Gyeongsang National University

Research output: Contribution to journal › Journal article › peer-review

4 Scopus citations

Abstract

In this paper, we apply the concept of an intuitionistic fuzzy set to ordered subalgebras in ordered BCI-algebras in the sense of intuitionistic fuzzy point. We introduce the notion of an intuitionistic fuzzy (ordered) subalgebra in ordered BCI-algebras, and investigate some related properties. We provide relations between an intuitionistic fuzzy ordered subalgebra and an intuitionistic fuzzy subalgebra. We give characterizations of an intuitionistic fuzzy (ordered) subalgebra. Finally, we provide relations between a q_{(t, s)}-level set of intuitionistic fuzzy set and an intuitionistic fuzzy ordered subalgebra.

Original language	English
Pages (from-to)	1342-1358
Number of pages	17
Journal	European Journal of Pure and Applied Mathematics
Volume	16
Issue number	3
DOIs	https://doi.org/10.29020/nybg.ejpam.v16i3.4832
State	Published - 2023.07

Keywords

intuitionistic fuzzy (ordered) subalgebra
Intuitionistic fuzzy point
q-level set

Quacquarelli Symonds(QS) Subject Topics

Computer Science & Information Systems
Mathematics
Statistics & Operational Research
Data Science

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10.29020/nybg.ejpam.v16i3.4832

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title = "Intuitionistic fuzzy ordered subalgebras in ordered BCI-algebras",

abstract = "In this paper, we apply the concept of an intuitionistic fuzzy set to ordered subalgebras in ordered BCI-algebras in the sense of intuitionistic fuzzy point. We introduce the notion of an intuitionistic fuzzy (ordered) subalgebra in ordered BCI-algebras, and investigate some related properties. We provide relations between an intuitionistic fuzzy ordered subalgebra and an intuitionistic fuzzy subalgebra. We give characterizations of an intuitionistic fuzzy (ordered) subalgebra. Finally, we provide relations between a q(t, s)-level set of intuitionistic fuzzy set and an intuitionistic fuzzy ordered subalgebra.",

keywords = "intuitionistic fuzzy (ordered) subalgebra, Intuitionistic fuzzy point, q-level set",

author = "Roh, \{Eun Hwan\} and Eunsuk Yang and Jun, \{Young Bae\}",

year = "2023",

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doi = "10.29020/nybg.ejpam.v16i3.4832",

language = "English",

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journal = "European Journal of Pure and Applied Mathematics",

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TY - JOUR

T1 - Intuitionistic fuzzy ordered subalgebras in ordered BCI-algebras

AU - Roh, Eun Hwan

AU - Yang, Eunsuk

AU - Jun, Young Bae

PY - 2023/7

Y1 - 2023/7

N2 - In this paper, we apply the concept of an intuitionistic fuzzy set to ordered subalgebras in ordered BCI-algebras in the sense of intuitionistic fuzzy point. We introduce the notion of an intuitionistic fuzzy (ordered) subalgebra in ordered BCI-algebras, and investigate some related properties. We provide relations between an intuitionistic fuzzy ordered subalgebra and an intuitionistic fuzzy subalgebra. We give characterizations of an intuitionistic fuzzy (ordered) subalgebra. Finally, we provide relations between a q(t, s)-level set of intuitionistic fuzzy set and an intuitionistic fuzzy ordered subalgebra.

AB - In this paper, we apply the concept of an intuitionistic fuzzy set to ordered subalgebras in ordered BCI-algebras in the sense of intuitionistic fuzzy point. We introduce the notion of an intuitionistic fuzzy (ordered) subalgebra in ordered BCI-algebras, and investigate some related properties. We provide relations between an intuitionistic fuzzy ordered subalgebra and an intuitionistic fuzzy subalgebra. We give characterizations of an intuitionistic fuzzy (ordered) subalgebra. Finally, we provide relations between a q(t, s)-level set of intuitionistic fuzzy set and an intuitionistic fuzzy ordered subalgebra.

KW - intuitionistic fuzzy (ordered) subalgebra

KW - Intuitionistic fuzzy point

KW - q-level set

UR - https://www.scopus.com/pages/publications/85167986553

U2 - 10.29020/nybg.ejpam.v16i3.4832

DO - 10.29020/nybg.ejpam.v16i3.4832

M3 - Journal article

AN - SCOPUS:85167986553

SN - 1307-5543

VL - 16

SP - 1342

EP - 1358

JO - European Journal of Pure and Applied Mathematics

JF - European Journal of Pure and Applied Mathematics

IS - 3

ER -

Intuitionistic fuzzy ordered subalgebras in ordered BCI-algebras

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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