Advanced Topics in Fuzzy Graph Theory
暫譯: 模糊圖論進階主題

Mordeson, John N., Mathew, Sunil

Advanced Topics in Fuzzy Graph Theory
  • 出版商: Springer
  • 出版日期: 2019-01-24
  • 售價: $4,430
  • 貴賓價: 9.5 折 $4,209
  • 語言: 英文
  • 頁數: 209
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3030042146
  • ISBN-13: 9783030042141

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商品描述

This book builds on two recently published books by the same authors on fuzzy graph theory. Continuing in their tradition, it provides readers with an extensive set of tools for applying fuzzy mathematics and graph theory to social problems such as human trafficking and illegal immigration. Further, it especially focuses on advanced concepts such as connectivity and Wiener indices in fuzzy graphs, distance, operations on fuzzy graphs involving t-norms, and the application of dialectic synthesis in fuzzy graph theory. Each chapter also discusses a number of key, representative applications. Given its approach, the book provides readers with an authoritative, self-contained guide to - and at the same time an inspiring read on - the theory and modern applications of fuzzy graphs. For newcomers, the book also includes a brief introduction to fuzzy sets, fuzzy relations and fuzzy graphs.

商品描述(中文翻譯)

本書基於同一作者最近出版的兩本有關模糊圖論的書籍。延續他們的傳統，本書為讀者提供了一套廣泛的工具，以將模糊數學和圖論應用於社會問題，例如人口販運和非法移民。此外，本書特別關注模糊圖中的連通性和維納指數（Wiener indices）、距離、涉及 t-範數的模糊圖運算，以及在模糊圖論中辯證綜合的應用。每一章節還討論了若干關鍵的代表性應用。考慮到其方法論，本書為讀者提供了一本權威的、自成體系的指南，同時也是一本啟發性的讀物，涵蓋了模糊圖的理論和現代應用。對於新手，本書還包括了對模糊集合、模糊關係和模糊圖的簡要介紹。

作者簡介

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. 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.

作者簡介(中文翻譯)

約翰·N·莫德森博士是克雷頓大學的數學名譽教授。他在愛荷華州立大學獲得了學士、碩士和博士學位。他是Phi Kappa Phi的成員。他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。他擔任多本期刊的編輯委員會成員。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過審稿人。他特別關注將不確定性數學應用於打擊人口販運問題。

蘇尼爾·馬修博士目前是印度卡利庫特國立技術學院數學系的教員。他在卡利庫特的聖約瑟夫學院德瓦基里獲得碩士學位，並在卡利庫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。他是幾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。

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