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Bipolar picture fuzzy sets and relations with applications |
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| รหัสดีโอไอ | |
| Creator | 1. Waheed Ahmad Khan 2. Khurram Faiz 3. Abdelghani Taouti |
| Title | Bipolar picture fuzzy sets and relations with applications |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2022 |
| Journal Title | Songklanakarin Journal of Science an Technology (SJST) |
| Journal Vol. | 44 |
| Journal No. | 4 |
| Page no. | 987-999 |
| Keyword | bipolar picture fuzzy sets, ring sum of bipolar picture fuzzy sets, bipolar picture fuzzy equivalence relation, bipolar picture fuzzy partition, distances between bipolar picture fuzzy sets |
| URL Website | https://rdo.psu.ac.th/sjst/index.php |
| ISSN | 0125-3395 |
| Abstract | The notions of both the bipolar fuzzy sets and picture fuzzy sets have been studied by many authors, the bipolar picturefuzzy set is the nice combination of these two notions. Basically, the concepts we present in our study are the direct extensions ofboth the bipolar fuzzy sets and picture fuzzy sets. In this study, we add few more operations and results in the theory of the bipolarpicture fuzzy sets. We also initiate the notion of bipolar picture fuzzy relations along with their applications. We present numerousbasic operations along with the algebraic sums, bounded sums, algebraic product, bounded difference on bipolar picture fuzzy sets.Different types of distances between two bipolar picture fuzzy sets are also addressed. We provide the application of bipolar picturefuzzy sets towards decision making theory along with its algorithm. Afterward, we introduce different types of bipolar picturefuzzy relations like bipolar picture fuzzy reflexive, symmetric and transitive relations. Subsequently, we introduce the concepts ofthe bipolar picture fuzzy equivalence relation and partition. We also produce numerous interesting results based on these relations.Finally, we establish the criteria for the detection of covid-19 at the base of bipolar picture fuzzy relations. |
