The extention rank ordering criteria weighting methods in fuzzy enviroment

IF 0.7 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE
Ammara Tanveer, M. Azam, M. Aslam, Muhammad Shujaat Navaz
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引用次数: 2

Abstract

Weight elicitation is an important part of multi-criteria decision analysis. In real-life decision-making problems precise information is seldom available, and providing weights is often cognitively demanding as well as very time- and effort-consuming. The judgment of decision-makers (DMs) de-pends on their knowledge, skills, experience, personality, and available information. One of the weights determination approaches is ranking the criteria and converting the resulting ranking into numerical values. The best known and most widely used are rank sum, rank reciprocal and centroid weights techniques. The goal of this paper is to extend rank ordering criteria weighting methods for imprecise data, especially fuzzy data. Since human judgments, including preferences, are often vague and cannot be expressed by exact numerical values, the application of fuzzy concepts in elicitation weights is deemed relevant. The methods built on the ideas of rank order techniques take into account imprecise information about rank. The fuzzy rank sum, fuzzy rank reciprocal, and fuzzy centroid weights techniques are proposed. The weights obtained for each criterion are triangular fuzzy numbers. The proposed fuzzy rank ordering criteria weighting methods can be easily implemented into decision support systems. Numerical examples are provided to illustrate the practicality and validity of the proposed methods.
模糊环境下的可拓排序准则加权方法
权重提取是多准则决策分析的重要组成部分。在现实生活中的决策问题中,精确的信息很少可用,而且提供权重通常需要认知能力,而且非常耗时和费力。决策者(DMs)的判断取决于他们的知识、技能、经验、个性和可用信息。确定权重的方法之一是对标准进行排序,并将结果排序转换为数值。最著名和最广泛使用的是秩和、秩倒数和质心权重技术。本文的目标是扩展不精确数据,特别是模糊数据的排序标准加权方法。由于人类的判断,包括偏好,往往是模糊的,不能用精确的数值来表达,因此在启发权重中应用模糊概念被认为是相关的。基于秩序技术思想的方法考虑了秩的不精确信息。提出了模糊秩和、模糊秩倒数和模糊质心权值技术。每个准则的权重都是三角模糊数。所提出的模糊排序准则加权方法易于在决策支持系统中实现。数值算例说明了所提方法的实用性和有效性。
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来源期刊
Operations Research and Decisions
Operations Research and Decisions OPERATIONS RESEARCH & MANAGEMENT SCIENCE-
CiteScore
1.00
自引率
25.00%
发文量
16
审稿时长
15 weeks
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