可能性多模糊软有序半群的渐进展望》：理论与分析

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-21 DOI:10.3390/axioms13060340

Sana Habib, Faiz Muhammad Khan, Violeta Leoreanu-Fotea

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引用次数: 0

摘要

可能性模糊软集的概念是朝着可用于解决决策问题的软集方法的新方向迈出的一步。本研究利用可能性多模糊软集和有序半群的相关概念，为可能性多模糊软有序半群引入了一个创新性的综合概念框架。可能性多模糊软有序半群是一个新发展的理论途径，本文的核心目的是对其进行研究。本文的重点是研究这一新发展的理论方向，并结合决策和诊断实践中的实际例子，以加深理解并吸引研究人员的兴趣。我们严格建立了可能性多模糊软左（右）理想以及 l 理想和 r 理想可能性多模糊软有序半群的概念。此外，还推导出了各种代数运算，如联合、相交以及 AND 和 OR 运算，并对其性质进行了全面讨论。为了阐明这些创新思想，还通过一系列示范示例进一步强化了理论构造，以确保深入和更好地理解所提出的框架。

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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A Progressive Outlook on Possibility Multi-Fuzzy Soft Ordered Semigroups: Theory and Analysis

The concept of possibility fuzzy soft sets is a step in a new direction towards a soft set approach that can be used to solve decision-making issues. In this piece of research, an innovative and comprehensive conceptual framework for possibility multi-fuzzy soft ordered semigroups by making use of the notions that are associated with possibility multi-fuzzy soft sets as well as ordered semigroups is introduced. Possibility multi-fuzzy soft ordered semigroups mark a newly developed theoretical avenue, and the central aim of this paper is to investigate it. The focus lies on investigating this newly developed theoretical direction, with practical examples drawn from decision-making and diagnosis practices to enhance understanding and appeal to researchers’ interests. We strictly build the notions of possibility multi-fuzzy soft left (right) ideals, as well as l-idealistic and r-idealistic possibility multi-fuzzy soft ordered semigroups. Furthermore, various algebraic operations, such as union, intersection, as well as AND and OR operations are derived, while also providing a comprehensive discussion of their properties. To clarify these innovative ideas, the theoretical constructs are further reinforced with a set of demonstrative examples in order to guarantee deep and improved comprehension of the proposed framework.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.