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On a weighted fuzzy knowledge measure with its applicationto multi-attribute decision-making |
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| รหัสดีโอไอ | |
| Creator | 1. Surender Singh 2. Sumita Lalotra |
| Title | On a weighted fuzzy knowledge measure with its applicationto multi-attribute decision-making |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2563 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 42 |
| Journal No. | 6 |
| Page no. | 1377-1388 |
| Keyword | fuzzy set, fuzzy entropy, weighted fuzzy knowledge measure, MADM |
| URL Website | https://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | In a real-life problem with some ambiguity, the 'fuzzy entropy' measures the total amount of ambiguity associated withthe fuzzy set. Analogous to this, a fuzzy knowledge measure may be considered for the total amount of precision present in afuzzy set. Cognitively, fuzzy entropy and fuzzy knowledge measure seem to be dual concepts. We establish the duality ofweighted fuzzy knowledge measure and weighted fuzzy entropy through characterization theorems. In many situations, everyelement of the universe of discourse may not be equally important for the expert. Therefore, a certain weight may be assigned toa particular member of the universe of discourse. In this work, we introduce a weighted fuzzy knowledge measure anddemonstrate the effectiveness of the weighted fuzzy knowledge measure through a comparative study. We also discuss theapplication of the proposed weighted fuzzy knowledge measure in multi-attribute decision-making (MADM). |
