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Open AccessArticle

New Entropy-Based Similarity Measure between Interval-Valued Intuitionstic Fuzzy Sets

1
Mathematics Department, Faculty of Science, Cairo University, Cairo 12613, Egypt
2
Automated Scheduling and Planning (ASAP) and Lab for Uncertainty in Data and Decision Making (LUCID), School of Computer Science, University of Nottingham, Nottingham NG81BB, UK
*
Author to whom correspondence should be addressed.
Axioms 2019, 8(2), 73; https://doi.org/10.3390/axioms8020073
Received: 27 January 2019 / Revised: 30 April 2019 / Accepted: 6 May 2019 / Published: 18 June 2019
(This article belongs to the Special Issue Softcomputing: Theories and Applications)
In this paper, we propose a new approach to constructing similarity measures using the entropy measure for Interval-Valued Intuitionistic Fuzzy Sets. In addition, we provide several illustrative examples to demonstrate the practicality and effectiveness of the proposed formula. Finally, we use the new proposed similarity measure to develop a new approach for solving problems of pattern recognition and multi-criteria fuzzy decision-making. View Full-Text
Keywords: intuitionistic fuzzy sets; interval-valued inuitionstic fuzzy sets; entropy measure; similarity measure intuitionistic fuzzy sets; interval-valued inuitionstic fuzzy sets; entropy measure; similarity measure
MDPI and ACS Style

Mohamed, S.S.; Abdalla, A.; John, R.I. New Entropy-Based Similarity Measure between Interval-Valued Intuitionstic Fuzzy Sets. Axioms 2019, 8, 73.

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