A dissimilarity Jensen–Shannon divergence measure for intuitionistic fuzzy sets |
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Authors: | Rajesh Joshi Satish Kumar |
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Affiliation: | Department of Mathematics, Maharishi Markandeshwar University, Mullana, Ambala, India |
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Abstract: | The need of suitable divergence measures arise as they play an important role in discrimination of two probability distributions. The present communication is devoted to the introduction of one such divergence measure using Jensen inequality and Shannon entropy and its validation. Also, a new dissimilarity measure based on the proposed divergence measure is introduced. Besides establishing validation, some of its major properties are also studied. Further, a new multiple attribute decision making method based on a proposed dissimilarity measure is introduced and is thoroughly explained with the help of an illustrated example. The paper is summed up with an application of the proposed dissimilarity measure in pattern recognition. |
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Keywords: | divergence measure intuitionistic fuzzy dissimilarity measure intuitionistic fuzzy set multiple attribute decision making pattern recognition |
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