Circular q-Rung Orthopair Fuzzy Set and Its Algebraic Properties

IF 0.5 Q3 MATHEMATICS

Malaysian Journal of Mathematical Sciences Pub Date : 2023-09-13 DOI:10.47836/mjms.17.3.08

B. Yusoff, A. Kilicman, D. Pratama, R. Hasni

引用次数: 1

Abstract

Circular intuitionistic fuzzy sets (CIFS) are a recent extension of intuitionistic fuzzy sets (IFS) that can handle imprecise membership values effectively. However, its representation is limited to the space under the intuitionistic fuzzy interpretation triangle (IFIT). To address this, a new generalization of CIFS called circular q-rung orthopair fuzzy sets (Cq-ROFS) is proposed, extending the IFIT to cover a larger space of imprecision. Several relations and operations, including algebraic operations for Cq-ROFS are proposed. In addition, modal operators and their properties are then investigated.

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圆q-Rung正交模糊集及其代数性质

循环直觉模糊集(CIFS)是直觉模糊集(IFS)的最新扩展，可以有效地处理不精确的隶属度值。然而，它的表征仅限于直觉模糊解释三角形(IFIT)下的空间。为了解决这个问题，本文提出了一种新的IFIT推广方法，称为圆q-rung正形模糊集(Cq-ROFS)，将IFIT扩展到更大的不精确空间。给出了Cq-ROFS的几个关系式和运算，包括代数运算。此外，还研究了模态算子及其性质。

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

Malaysian Journal of Mathematical Sciences MATHEMATICS-

CiteScore

1.10

自引率

20.00%

发文量

期刊介绍： The Research Bulletin of Institute for Mathematical Research (MathDigest) publishes light expository articles on mathematical sciences and research abstracts. It is published twice yearly by the Institute for Mathematical Research, Universiti Putra Malaysia. MathDigest is targeted at mathematically informed general readers on research of interest to the Institute. Articles are sought by invitation to the members, visitors and friends of the Institute. MathDigest also includes abstracts of thesis by postgraduate students of the Institute.