{"title":"Label of a linguistic value in a universe of discourse and the truth values of fuzzy propositions","authors":"Zheng Pei , Qiong Liu , Li Yan , Lu Wang","doi":"10.1016/j.ins.2024.121545","DOIUrl":null,"url":null,"abstract":"<div><div>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 (<em>CW</em>). 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 “<em>the membership function is close to label of the linguistic value</em>”, 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 <em>Z</em>-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 <em>CW</em>.</div></div>","PeriodicalId":51063,"journal":{"name":"Information Sciences","volume":"690 ","pages":"Article 121545"},"PeriodicalIF":8.1000,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Information Sciences","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020025524014592","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"0","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
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.
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.
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