On Generalized Intuitionistic Fuzzy Knowledge Measure and its Application in MADM using Combined Weights
Surender Singh1, Sonam Sharma2
1Surender Singh, School of Mathematics, Shri Mata Vaishno Devi University (SMVDU), Katra (182320), J & K, India.
2Sonam Sharma, School of Mathematics, SMVDU, Katra (182320), J & K, India.
Manuscript received on 02 March 2019 | Revised Manuscript received on 08 March 2019 | Manuscript published on 30 July 2019 | PP: 1536-1541 | Volume-8 Issue-2, July 2019 | Retrieval Number: B2186078219/19©BEIESP | DOI: 10.35940/ijrte.B2186.078219
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The role of the fuzzy sets is eminent in the study of the ambiguous type of information. Generalizations and extensions of fuzzy sets have led to a broader analysis of these types of researches. In this communication, we suggest a generalized knowledge measure of an intuitionistic fuzzy set (IFS). We compare several existing intuitionistic fuzzy entropies and knowledge measures with our proposed intuitionistic fuzzy (IF) knowledge measure which indicates that the proposed IF-knowledge measure has a greater ability in discriminating different IFSs. We also apply our proposed intuitionistic fuzzy knowledge measure in multi-attribute decision-making (MADM) problem by using combined weights i.e., objective and subjective attribute weights.
Index Terms: Combined Weights, Intuitionistic Fuzzy Set, Knowledge Measure, MADM.
Scope of the Article: Fuzzy Logics