On Ranking in Triangular Intuitionistic Fuzzy Multi-criteria Decision Making under (a, ß)-cut with 'Useful' Parametric Entropy

2015 Fifth International Conference on Advances in Computing and Communications (ICACC) Pub Date : 2015-09-01 DOI:10.1109/ICACC.2015.33

N. Gandotra, R. Bajaj, J. Mathew

{"title":"On Ranking in Triangular Intuitionistic Fuzzy Multi-criteria Decision Making under (a, ß)-cut with 'Useful' Parametric Entropy","authors":"N. Gandotra, R. Bajaj, J. Mathew","doi":"10.1109/ICACC.2015.33","DOIUrl":null,"url":null,"abstract":"In the present communication, we have applied the concept of Triangular Intuitionistic Fuzzy Numbers (TIFNs) to the study of a Multiple Criteria Decision Making (MCDM) problem for finding the best alternative where the linguistic variables for the criteria are intuitively predefined in the form of TIFNs. On the basis of decision maker's qualitative opinions as well as the management's opinions to the criteria, the weight of each criterion is being calculated with the help of parametric entropy and 'useful' parametric entropy under α - cut/(α, β) - cut based distance measures for different possible values of parameters. Also, an algorithm for Triangular Intuitionistic Fuzzy Multi-criteria Decision Making (TIF-MCDM) problem where the ranking of the available alternatives by calculating the various distances between the ideal alternative and all the available alternatives has been provided. An illustrative example showing the procedure to rank the alternatives in view of the different opinions has also been provided.","PeriodicalId":368544,"journal":{"name":"2015 Fifth International Conference on Advances in Computing and Communications (ICACC)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 Fifth International Conference on Advances in Computing and Communications (ICACC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICACC.2015.33","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

Abstract

In the present communication, we have applied the concept of Triangular Intuitionistic Fuzzy Numbers (TIFNs) to the study of a Multiple Criteria Decision Making (MCDM) problem for finding the best alternative where the linguistic variables for the criteria are intuitively predefined in the form of TIFNs. On the basis of decision maker's qualitative opinions as well as the management's opinions to the criteria, the weight of each criterion is being calculated with the help of parametric entropy and 'useful' parametric entropy under α - cut/(α, β) - cut based distance measures for different possible values of parameters. Also, an algorithm for Triangular Intuitionistic Fuzzy Multi-criteria Decision Making (TIF-MCDM) problem where the ranking of the available alternatives by calculating the various distances between the ideal alternative and all the available alternatives has been provided. An illustrative example showing the procedure to rank the alternatives in view of the different opinions has also been provided.

查看原文本刊更多论文

有用参数熵下(a， ß)-cut下三角直觉模糊多准则决策的排序

在目前的交流中，我们已经将三角直觉模糊数(tifn)的概念应用于多准则决策(MCDM)问题的研究，以寻找最佳选择，其中标准的语言变量直观地以tifn的形式预定义。根据决策者的定性意见和管理层对准则的意见，在基于α -切/(α， β)切的距离度量下，利用参数熵和“有用”参数熵计算各准则的权重。提出了一种三角直觉模糊多准则决策(TIF-MCDM)算法，该算法通过计算理想方案与所有可行方案之间的各种距离来确定可行方案的排序。还提供了一个说明性的例子，说明根据不同意见对备选方案进行排序的程序。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

2015 Fifth International Conference on Advances in Computing and Communications (ICACC)

自引率

0.00%

发文量