On Sharma-Mittal’s Entropy under Intuitionistic Fuzzy Environment

Taylor and Francis
Publication Type:
Journal Article
Cybernetics and Systems, 2021, 52, (6), pp. 498-521
Issue Date:
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Entropy plays an important role in many real-life applications to measure the amount of fuzziness associated with an intuitionistic fuzzy set. This paper reviews the different entropy measures defined on intuitionistic fuzzy sets and proposes a new entropy measure called “intuitionistic fuzzy entropy of order- (Formula presented.) and type- (Formula presented.) ” in the setting of the intuitionistic fuzzy environment. This measure extends the idea of Sharma–Mittal’s entropy from probabilistic to the intuitionistic phenomenon. Further, connections between the intuitionistic fuzzy entropy of order- (Formula presented.) and type- (Formula presented.) and other intuitionistic fuzzy/fuzzy entropies are also established. Some interesting properties of this measure are analyzed. Finally, two numerical examples are given to illustrate the performance of the proposed entropy measure by comparing it with other existing entropies.
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