Label of a linguistic value in a universe of discourse and the truth values of fuzzy propositions

IF 8.1 1区计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS

Information Sciences Pub Date : 2024-10-10 DOI:10.1016/j.ins.2024.121545

Zheng Pei , Qiong Liu , Li Yan , Lu Wang

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引用次数: 0

Abstract

Due to objects described by a linguistic value with unsharp or fuzzy boundary, meaning of a linguistic value means different things to different people, the relation between the linguistic value and membership functions as its meaning is one-to-many rather than one-to-one. How to precisiate meaning of a linguistic value and even determine the truth values of fuzzy propositions remain open problems in computing with words (CW). In the paper, label of a linguistic value in its universe of discourse is proposed to formalize a possible position of objects described by the linguistic value, which is determined by a part of objects that can be and can not be described by the linguistic value via a group of users' commonsense knowledge. Then confidence degree of a membership function relative to a linguistic value is presented by measuring “the membership function is close to label of the linguistic value”, which can be used to precisiate meaning of a linguistic value and determine the truth values of fuzzy propositions. Finally, the truth value approximate reasoning of fuzzy propositions in the framework of the generalized modus ponens is provided and employed to evaluate the students' educational achievement. Comparative analysis with educational achievement based on Aliev's Z-interpolation approach and Zadeh's compositional rule of inference show that label of a linguistic value and confidence degree of a membership function relative to the linguistic value are effective and useful tools for CW.

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话语宇宙中语言值的标签和模糊命题的真值

由于语言值所描述的对象具有不清晰或模糊的边界，语言值的含义对不同的人有不同的意义，作为其含义的语言值与成员函数之间的关系是一对多而不是一对一的。如何精确确定语言值的含义，甚至确定模糊命题的真值，仍然是文字计算（CW）领域的未决问题。本文提出了语言值在其话语宇宙中的标签，将语言值所描述的对象的可能位置形式化，该位置由通过一组用户的常识知识确定的语言值可描述和不可描述的部分对象决定。然后，通过衡量 "成员函数是否接近语言值的标签 "来呈现成员函数相对于语言值的置信度，从而用于精确语言值的含义和确定模糊命题的真值。最后，提供了广义模态框架下的模糊命题真值近似推理，并将其用于评价学生的教育成就。基于阿利耶夫的 Z 内插法和扎德的组合推理规则与教育成就的比较分析表明，语言值的标签和相对于语言值的成员函数的置信度是有效和有用的 CW 工具。

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

Information Sciences 工程技术-计算机：信息系统

CiteScore

14.00

自引率

17.30%

发文量

1322

审稿时长

10.4 months

期刊介绍： Informatics and Computer Science Intelligent Systems Applications is an esteemed international journal that focuses on publishing original and creative research findings in the field of information sciences. We also feature a limited number of timely tutorial and surveying contributions. Our journal aims to cater to a diverse audience, including researchers, developers, managers, strategic planners, graduate students, and anyone interested in staying up-to-date with cutting-edge research in information science, knowledge engineering, and intelligent systems. While readers are expected to share a common interest in information science, they come from varying backgrounds such as engineering, mathematics, statistics, physics, computer science, cell biology, molecular biology, management science, cognitive science, neurobiology, behavioral sciences, and biochemistry.