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New types of bipolar fuzzy sets in I-semihypergroups |
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| รหัสดีโอไอ | |
| Creator | 1. Naveed Yaqoob 2. Muhammad Aslam 3. Inayatur Rehman 4. Mohammed M. Khalaf |
| Title | New types of bipolar fuzzy sets in I-semihypergroups |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2559 |
| Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
| Journal Vol. | 38 |
| Journal No. | 2 |
| Page no. | 119-127 |
| Keyword | ?-semihypergroups,bipolar fuzzy sets,bipolar (? ?, )-fuzzy ?-hyperideals |
| ISSN | 0125-3395 |
| Abstract | The notion of bipolar fuzzy set was initiated by Lee (2000) as a generalization of the notion fuzzy sets and intuitionisticfuzzy sets, which have drawn attention of many mathematicians and computer scientists. In this paper, we initiate a studyon bipolar (? ?, )-fuzzy sets in ?-semihypergroups. By using the concept of bipolar (? ?, )-fuzzy sets (Yaqoob and Ansari,2013), we introduce the notion of bipolar (? ?, )-fuzzy sub ?-semihypergroups (?-hyperideals and bi-?-hyperideals) anddiscuss some basic results on bipolar (? ?, )-fuzzy sets in ?-semihypergroups. Furthermore, we define the bipolar fuzzysubset , ? ?? ???? ?? ??? ?? and prove that if ? ?,? ?? ? ? ? is a bipolar (? ?, )-fuzzy sub ?-semihypergroup (resp., ?-hyperidealand bi-?-hyperideal) of H; then , ? ?? ??? ? ?? ??? ?? is also a bipolar (? ?, )-fuzzy sub ?-semihypergroup (resp., ?-hyperidealand bi-?-hyperideal) of H. |
