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Titlebook: Concepts of Fuzzy Mathematics; Manoranjan Kumar Singh Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclusive licen

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发表于 2025-3-21 19:35:11 | 显示全部楼层 |阅读模式
书目名称Concepts of Fuzzy Mathematics
编辑Manoranjan Kumar Singh
视频videohttp://file.papertrans.cn/243/242370/242370.mp4
概述Discusses all major topics in fuzzy mathematics with explanations, proper examples, and historical background.Provides some generalizations of fuzzy sets and gives insights about set theories under un
丛书名称Forum for Interdisciplinary Mathematics
图书封面Titlebook: Concepts of Fuzzy Mathematics; Manoranjan Kumar Singh Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclusive licen
描述.This comprehensive introductory textbook is designed for undergraduate mathematics students seeking to gain a strong understanding of fuzzy sets and relations. Covering all major topics in the field, this course provides a solid foundation in fuzzy mathematics, similar to a pre-calculus course covering algebra, functions and trigonometry. The book is enriched with more than 225 solved examples, 194 challenging problems, 276 multiple-choice questions and 240 true/false statements, making it an ideal companion for students looking to master the basics of fuzzy mathematics. Whether readers are studying on their own or as part of a classroom setting, this book provides a unified and comprehensive treatment of the subject, ensuring that readers have the knowledge and skills they need to succeed..
出版日期Textbook 2024
关键词Crisp Set; Fuzzy Set; Fuzzy Set Theoretic Operators; Fuzzy Numbers; Fuzzy Llinear Equations; Fuzzy Relati
版次1
doihttps://doi.org/10.1007/978-981-97-3270-8
isbn_softcover978-981-97-3272-2
isbn_ebook978-981-97-3270-8Series ISSN 2364-6748 Series E-ISSN 2364-6756
issn_series 2364-6748
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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Forum for Interdisciplinary Mathematicshttp://image.papertrans.cn/d/image/242370.jpg
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Consumer Man in Crisis: Arthur Miller’s ,This chapter incorporates the decomposition of a fuzzy set, resolution identity, extension principle for one and multiple fuzzy sets, a product of two or more fuzzy sets, inverse image, and pre-image of a fuzzy set under a mapping. We will demonstrate the proofs of three fundamental decomposition theorems of fuzzy sets.
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Fundamental of Crisp Set Theory,This chapter introduces the classical set theory and some of its properties required as essential ingredients for all the subsequent chapters. Here, we have summarized the notions of classical sets, ordered pairs, relations, ordered relations, similarity relations, tolerance relations, and functions.
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Decomposition of a Fuzzy Set and Extension Principle,This chapter incorporates the decomposition of a fuzzy set, resolution identity, extension principle for one and multiple fuzzy sets, a product of two or more fuzzy sets, inverse image, and pre-image of a fuzzy set under a mapping. We will demonstrate the proofs of three fundamental decomposition theorems of fuzzy sets.
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