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Approach to Calculate the Degree of Similarity between Generalized Trapezoidal Fuzzy Numbers

Aditya Kumar Anand. Published in Fuzzy Systems

International Journal of Applied Information Systems
Year of Publication: 2016
Publisher: Foundation of Computer Science (FCS), NY, USA
Authors: Aditya Kumar Anand
10.5120/ijais2016451598
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  1. Aditya Kumar Anand. Approach to Calculate the Degree of Similarity between Generalized Trapezoidal Fuzzy Numbers. International Journal of Applied Information Systems 11(4):31-36, September 2016. URL, DOI BibTeX

    @article{10.5120/ijais2016451598,
    	author = "Aditya Kumar Anand",
    	title = "Approach to Calculate the Degree of Similarity between Generalized Trapezoidal Fuzzy Numbers",
    	journal = "International Journal of Applied Information Systems",
    	issue_date = "September 2016",
    	volume = 11,
    	number = 4,
    	month = "Sep",
    	year = 2016,
    	issn = "2249-0868",
    	pages = "31-36",
    	numpages = 5,
    	url = "http://www.ijais.org/archives/volume11/number4/935-2016451598",
    	doi = "10.5120/ijais2016451598",
    	publisher = "Foundation of Computer Science (FCS), NY, USA",
    	address = "New York, USA"
    }
    

Abstract

This paper presents a new statistical approach to measure the degree of similarity between the generalized trapezoidal fuzzy numbers. Since the evolution of Fuzzy sets and logic, many researchers, mathematicians are working on the Fuzzy systems to find unhidden concepts related to it. It has been used in almost every sphere, whether it is a scientific research analysis or the pattern recognition, decision-making or the image processing. These fields and many more, widely use the similarity measure of fuzzy numbers. In this work, a simple method has been proposed to calculate the degree of similarity between the fuzzy numbers. It is one of the simplest method to find the degree of similarity between the fuzzy numbers. Complexity is reduced by utilizing the least number of parameters to calculate the degree of similarity. A comparative study between the proposed model and the existing similarity model shows that the proposed method is more accurate than the existing models, which are used to find the degree of similarity between the fuzzy numbers.

Reference

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Keywords

Degree of Similarity, Similarity Measures, Fuzzy Numbers, Generalized Trapezoidal Fuzzy Numbers