Multi-Criteria Decision Making Methods with Bipolar Fuzzy Sets

Akram, Muhammad, Shumaiza, Rodríguez Alcantud, José Carlos

Multi-Criteria Decision Making Methods with Bipolar Fuzzy Sets
  • 出版商: Springer
  • 出版日期: 2024-05-23
  • 售價: $5,950
  • 貴賓價: 9.5 折 $5,653
  • 語言: 英文
  • 頁數: 214
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 9819905710
  • ISBN-13: 9789819905713

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This monograph discusses the theoretical and practical development of multicriteria decision making (MCDM). The main purpose of MCDM is the construction of systematized strategies for the "optimisation" of feasible options, as well as the justification of why some alternatives can be declared "optimal". However, at time, we must make decisions in an uncertain environment and such inconvenience gives rise to a much more elaborate scenario. This book highlights models where this lack of certainty can be flexibly fitted in and goes on to explore valuable strategies for making decisions under a multiplicity of criteria. Methods discussed include bipolar fuzzy TOPSIS method, bipolar fuzzy ELECTRE-I method, bipolar fuzzy ELECTRE-II method, bipolar fuzzy VIKOR method, bipolar fuzzy PROMETHEE method, and two-tuple linguistic bipolar fuzzy Heronian mean operators. This book is a valuable resource for researchers, computer scientists, and social scientists alike.

商品描述(中文翻譯)

本論文討論了多準則決策（MCDM）的理論和實際發展。MCDM的主要目的是建立系統化的策略，以優化可行選項，並解釋為什麼某些替代方案可以被宣稱為“最佳”。然而，在不確定的環境中做出決策時，我們必須面對更複雜的情境。本書重點介紹了可以靈活應對這種不確定性的模型，並探討了在多準則下做出決策的有價值策略。討論的方法包括雙極模糊TOPSIS方法、雙極模糊ELECTRE-I方法、雙極模糊ELECTRE-II方法、雙極模糊VIKOR方法、雙極模糊PROMETHEE方法和雙元語言雙極模糊Heronian平均運算子。本書對研究人員、計算機科學家和社會科學家都是一個寶貴的資源。

作者簡介

MUHAMMAD AKRAM is Professor at the Department of Mathematics, University of the Punjab, Lahore, Pakistan. He earned his Ph.D. in fuzzy mathematics from the Government College University, Lahore, Pakistan. His research interests include numerical algorithms, fuzzy graphs, fuzzy algebras, and fuzzy decision support systems. He has published 10 monographs and 485 research articles in international peer-reviewed journals. According to reports from Stanford University for years 2020, 2021 and 2022, Dr. Akram is ranked in the top 2% of scientists for years 2020, 2021 and 2022 in the world in artificial intelligence and image processing. He has been on the editorial of 15 international academic journals and reviewer/referee for 155 international journals, including Mathematical Reviews (USA) and Zentralblatt MATH (Germany). Under his supervision, 17 Ph.D. students have completed their research and he is currently guiding five more towards the same.

SHUMAIZA is a research scholar at the University of Punjab, Lahore, Pakistan, from where she also has earned her M.Phil. degree in Mathematics. She has won the HEC indigenous scholarship for her Ph.D. program and has published 15 research articles in renowned international peer-reviewed journals. Her area of research is fuzzy systems.

JOSÉ CARLOS R. ALCANTUD is Full Professor at the Department of Economics and Economic History, University of Salamanca, Spain, since 2010, and has been heading the BORDA Research Unit since 2015. He received his Ph.D. in Mathematics in 1996 from the University of Santiago de Compostela, Spain and M.Sc. in Mathematics in 1991 from the University of Valencia, Spain. His research interests include social choice theory, mathematical economics, and fuzzy theory and decision support systems. He has published over 200 papers on these topics and has supervised 3Ph.D. students on their research.

作者簡介(中文翻譯)

穆罕默德·阿克拉姆（Muhammad Akram）是巴基斯坦拉合爾旁遮普大學數學系的教授。他在巴基斯坦拉合爾政府學院獲得模糊數學博士學位。他的研究興趣包括數值算法、模糊圖、模糊代數和模糊決策支持系統。他在國際同行評審期刊上發表了10本專著和485篇研究文章。根據斯坦福大學2020年、2021年和2022年的報告，阿克拉姆博士在人工智能和影像處理領域在2020年、2021年和2022年全球科學家中排名前2%。他曾擔任15本國際學術期刊的編輯，並擔任155本國際期刊的審稿人，包括美國數學評論（Mathematical Reviews）和德國數學文摘（Zentralblatt MATH）。在他的指導下，有17名博士生完成了他們的研究，目前還有5名學生在他的指導下進行研究。

舒邁扎（Shumaiza）是巴基斯坦拉合爾旁遮普大學的研究學者，她也在該校獲得了數學碩士學位。她因博士課程獲得了巴基斯坦高等教育委員會的本土獎學金，並在知名的國際同行評審期刊上發表了15篇研究文章。她的研究領域是模糊系統。

何塞·卡洛斯·R·阿爾坎圖德（José Carlos R. Alcantud）自2010年起擔任西班牙薩拉曼卡大學經濟與經濟史系的正教授，自2015年起擔任BORDA研究單位的負責人。他於1996年在西班牙聖地亞哥·德孔波斯特拉大學獲得數學博士學位，並於1991年在西班牙巴倫西亞大學獲得數學碩士學位。他的研究興趣包括社會選擇理論、數學經濟學和模糊理論和決策支持系統。他在這些領域發表了200多篇論文，並指導了3名博士生的研究。

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