Fuzzy Systems and its Applications

Fuzzy Systems and its Applications

A new similarity and distance measure for interval-valued intuitionistic fuzzy sets

Document Type : Original Article

Authors
Gholam Hassan Shirdel 1
Madineh Farnam 2
1 University of Qom
2 Qom University
10.22034/jfsa.2024.433087.1193
Abstract
Distance size, similarity size, and entropy size provide useful results for decision makers to make decisions about problems with uncertain data. The main focus of this research is to introduce a new measure for interval-valued intuitive fuzzy numbers. Many of the defined measures have shortcomings such as not being comprehensive, high volume of calculations and application in limited cases. Therefore, the main goal of this research is to introduce a measure of distance and similarity with a new and reduced approach for intuitive fuzzy numbers with a value interval. After presenting the structure and effective indicators in the proposed size, it can be seen that the amount of calculations is clearly reduced in the defined interval size. In addition, the proof that size properties hold for it is shown correctly. The presented size structure has the ability to be combined with the process related to multi-criteria decision making and medical diagnosis problems. For this purpose, while presenting hybrid algorithms, effective applications of it have been given by mentioning several prominent examples.
Keywords
Intuitionistic interval-value fuzzy set
Distance measure
multi-criteria decision making
Similarity measure
Subjects
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Fuzzy Systems and its Applications
Volume 6, Issue 2 - Serial Number 13
Open Access Statement
December 2024
Pages 237-267

  • Receive Date 28 January 2024
  • Revise Date 05 May 2024
  • Accept Date 19 June 2024