Fuzzy Graph Theory
暫譯: 模糊圖論

Mathew, Sunil, Mordeson, John N., Malik, Davender S.

Fuzzy Graph Theory
  • 出版商: Springer
  • 出版日期: 2019-06-06
  • 售價: $7,920
  • 貴賓價: 9.5 折 $7,524
  • 語言: 英文
  • 頁數: 320
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3319890700
  • ISBN-13: 9783319890708

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相關主題

商品描述

This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas. It introduces readers to fundamental theories, such as Craine's work on fuzzy interval graphs, fuzzy analogs of Marczewski's theorem, and the Gilmore and Hoffman characterization. It also introduces them to the Fulkerson and Gross characterization and Menger's theorem, the applications of which will be discussed in a forthcoming book by the same authors. This book also discusses in detail important concepts such as connectivity, distance and saturation in fuzzy graphs.

Thanks to the good balance between the basics of fuzzy graph theory and new findings obtained by the authors, the book offers an excellent reference guide for advanced undergraduate and graduate students in mathematics, engineering and computer science, and an inspiring read for all researchers interested in new developments in fuzzy logic and applied mathematics.

商品描述(中文翻譯)

本書提供了模糊圖論的及時概述，為未來在廣泛領域的應用奠定基礎。它向讀者介紹了基本理論，例如Craine在模糊區間圖上的研究、Marczewski定理的模糊類比，以及Gilmore和Hoffman的特徵描述。它還介紹了Fulkerson和Gross的特徵描述以及Menger定理，這些應用將在同一作者即將出版的書中討論。本書還詳細討論了模糊圖中的重要概念，如連通性、距離和飽和度。

由於本書在模糊圖論的基礎知識與作者所獲得的新發現之間取得了良好的平衡，因此它為數學、工程和計算機科學的高年級本科生和研究生提供了優秀的參考指南，並且對所有對模糊邏輯和應用數學新發展感興趣的研究人員來說，都是一本啟發性的讀物。

作者簡介

Dr. Sunil Mathew is currently a Faculty Member in the Department of Mathematics, NIT Calicut, India. He has acquired his masters from St. Joseph's College Devagiri, Calicut, and Ph.D. from National Institute of Technology Calicut in the area of Fuzzy Graph Theory. He has published more than 75 research papers and written two books. He is a member of several academic bodies and associations. He is editor and reviewer of several international journals. He has an experience of 20 years in teaching and research. His current research topics include fuzzy graph theory, bio-computational modeling, graph theory, fractal geometry, and chaos.

Dr. John N. Mordeson is Professor Emeritus of Mathematics at Creighton University. He received his B.S., M.S., and Ph.D. from Iowa State University. He is a Member of Phi Kappa Phi. He is the President of the Society for Mathematics of Uncertainty. He has published 15 books and 200 journal articles. He is on the editorial board of numerous journals. He has served as an external examiner of Ph.D. candidates from India, South Africa, Bulgaria, and Pakistan. He has refereed for numerous journals and granting agencies. He is particularly interested in applying mathematics of uncertainty to combat the problem of human trafficking.

Dr. Davender S. Malik is a Professor of Mathematics at Creighton University. He received his Ph.D. from Ohio University and has published more than 55 papers and 18 books on abstract algebra, applied mathematics, graph theory, fuzzy automata theory and languages, fuzzy logic and its applications, programming, data structures, and discrete mathematics.

作者簡介(中文翻譯)

馬修博士 (Dr. Sunil Mathew) 目前是印度卡利卡特國立技術學院數學系的教員。他在卡利卡特的聖約瑟夫學院德瓦基里獲得碩士學位，並在卡利卡特國立技術學院獲得模糊圖論領域的博士學位。他已發表超過75篇研究論文並撰寫了兩本書籍。他是多個學術機構和協會的成員，也是多本國際期刊的編輯和審稿人。他在教學和研究方面擁有20年的經驗。他目前的研究主題包括模糊圖論、生物計算建模、圖論、分形幾何和混沌。

莫德森博士 (Dr. John N. Mordeson) 是克雷頓大學的數學榮譽教授。他在愛荷華州立大學獲得學士、碩士和博士學位。他是Phi Kappa Phi的成員，也是不確定性數學學會的會長。他已出版15本書籍和200篇期刊文章，並在多本期刊的編輯委員會中任職。他曾擔任來自印度、南非、保加利亞和巴基斯坦的博士候選人的外部考官。他為多本期刊和資助機構擔任審稿人。他特別關注將不確定性數學應用於打擊人口販運問題。

馬利克博士 (Dr. Davender S. Malik) 是克雷頓大學的數學教授。他在俄亥俄大學獲得博士學位，並在抽象代數、應用數學、圖論、模糊自動機理論及語言、模糊邏輯及其應用、程式設計、資料結構和離散數學等領域發表了超過55篇論文和18本書籍。

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