Intuitionistic Fuzzy Soft Set Theoretic Approaches to α-ideals in BCI-algebras

IF 1.3 Q2 MATHEMATICS, APPLIED

Fuzzy Information and Engineering Pub Date : 2020-04-02 DOI:10.1080/16168658.2020.1751405

M. Touqeer

引用次数: 2

Abstract

ABSTRACT As an extension of the applications of soft sets in α-ideals of BCI-algebras, we have defined the idea of ‘intuitionistic fuzzy soft α-ideals’ and proved their basic properties. ‘Intuitionistic fuzzy soft BCI-algebras' and ‘intuitionistic fuzzy soft ideals' have been described with the help of concrete examples. We proved that any IFSI of a BCK-algebra is an ‘intuitionistic fuzzy soft BCK-algebra' (IFSBCKA). Afterwards we have proceeded towards the detail discussion of IFSαIs. The notion of intuitionistic fuzzy soft α-ideals in BCI-algebras is presented, the corresponding properties are proved and concrete applications are given. Connections between various types of intuitionistic fuzzy soft α-ideals and intuitionistic fuzzy soft ideals are described. Intuitionistic fuzzy soft α-ideals are characterised using the idea of soft (δ, η)-level set.

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bci -代数中α-理想的直觉模糊软集论方法

作为软集在bci -代数α-理想中的应用的推广，我们定义了“直觉模糊软α-理想”的概念，并证明了它们的基本性质。用具体的例子描述了“直觉模糊软bci代数”和“直觉模糊软理想”。证明了任何bck代数的IFSI都是“直觉模糊软bck代数”(IFSBCKA)。随后，我们对ifs α i进行了详细讨论。给出了bci -代数中直觉模糊软α-理想的概念，证明了其相关性质，并给出了具体应用。描述了各类直觉模糊软α-理想与直觉模糊软理想之间的联系。利用软(δ， η)水平集的思想对直觉模糊软α-理想进行表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Fuzzy Information and Engineering Mathematics-Logic

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

40 weeks

期刊介绍： Fuzzy Information and Engineering—An International Journal wants to provide a unified communication platform for researchers in a wide area of topics from pure and applied mathematics, computer science, engineering, and other related fields. While also accepting fundamental work, the journal focuses on applications. Research papers, short communications, and reviews are welcome. Technical topics within the scope include: (1) Fuzzy Information a. Fuzzy information theory and information systems b. Fuzzy clustering and classification c. Fuzzy information processing d. Hardware and software co-design e. Fuzzy computer f. Fuzzy database and data mining g. Fuzzy image processing and pattern recognition h. Fuzzy information granulation i. Knowledge acquisition and representation in fuzzy information (2) Fuzzy Sets and Systems a. Fuzzy sets b. Fuzzy analysis c. Fuzzy topology and fuzzy mapping d. Fuzzy equation e. Fuzzy programming and optimal f. Fuzzy probability and statistic g. Fuzzy logic and algebra h. General systems i. Fuzzy socioeconomic system j. Fuzzy decision support system k. Fuzzy expert system (3) Soft Computing a. Soft computing theory and foundation b. Nerve cell algorithms c. Genetic algorithms d. Fuzzy approximation algorithms e. Computing with words and Quantum computation (4) Fuzzy Engineering a. Fuzzy control b. Fuzzy system engineering c. Fuzzy knowledge engineering d. Fuzzy management engineering e. Fuzzy design f. Fuzzy industrial engineering g. Fuzzy system modeling (5) Fuzzy Operations Research [...] (6) Artificial Intelligence [...] (7) Others [...]