A novel method of similarity measures of Trapezoidal intuitionistic fuzzy numbers
Downloads
DOI:
https://doi.org/10.26637/MJM0804/0124Abstract
In this paper, we made an extensive analysis of the similarity relation between two trapezoidal intuitionistic fuzzy numbers. We proposed a two similarity measures for trapezoidal intuitionistic fuzzy number using the geometric distance and graded mean. Some numerical examples are listed for justification of the work.
Keywords:
Trapezoidal Fuzzy Number, Intuitionistic Fuzzy Number, Geometric Distance, Graded mean, Similarity MeasuresMathematics Subject Classification:
Mathematics- Pages: 2060-2062
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
Chen .S.J., and Chen .S. M., A New Method to Measure the Similarity between Fuzzy Numbers, IEEE International Conference on Fuzzy Systems, (2001), 1123-1126.
Chen .S.J., and Chen .S. M., Fuzzy Risk Analysis Based on Similarity Measures of Generalized Fuzzy Numbers,IEEE Transactions on Fuzzy Systems, 11(1)(2003), $45-56$.
Hsieh .C.H., and Chen .S. H., Similarity of generalized fuzzy numbers with graded mean integration representation, In Proceedings of 8th International Fuzzy Systems Association World Congress, 2(1999), 551-555.
Liu .H.W., New Similarity Measures between Intuitionistic Fuzzy Sets and Between Elements, Journal of Mathematical and Computer Modeling, 42(2005), 61-70.
Stephen Dinagar. D., and Fany Helena .E., Similarity Measure between Trapezoidal Intuitionistic Fuzzy Numbers with value and ambiguity, Compliance Engineering Journal, 10(9)(2019), 137-147.
- NA
Similar Articles
- K. Uma, K. Rama, Analysation of the stress in human being with fuzzy logic , Malaya Journal of Matematik: Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 MJM
![Creative Commons License](http://i.creativecommons.org/l/by/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution 4.0 International License.