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http://hdl.handle.net/10397/108947
| Title: | A bipolar-valued fuzzy set is an intersected interval-valued fuzzy set | Authors: | Hu, BQ Yiu, KFC |
Issue Date: | Feb-2024 | Source: | Information sciences, Feb. 2024, v. 657, 119980 | Abstract: | This paper shows that a bipolar-valued fuzzy set and a special interval-valued fuzzy set, whose cut-off point of left and right ends of the interval-valued membership is λ (0 < λ < 1), are identical from a mathematical point of view. All results on bipolar-valued fuzzy sets can be obtained by corresponding results of interval-valued fuzzy sets or fuzzy sets. This paper does not completely reject bipolar-valued fuzzy sets, but points the way for such research. | Keywords: | Bipolar-valued fuzzy sets Intersected interval-valued fuzzy sets Interval-valued fuzzy sets Interval-valued rough fuzzy sets |
Publisher: | Elsevier Inc. | Journal: | Information sciences | ISSN: | 0020-0255 | EISSN: | 1872-6291 | DOI: | 10.1016/j.ins.2023.119980 | Rights: | © 2023 Elsevier Inc. All rights reserved. © 2023. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ The following publication Hu, B. Q., & Yiu, K.-f. C. (2024). A bipolar-valued fuzzy set is an intersected interval-valued fuzzy set. Information Sciences, 657, 119980 is available at https://doi.org/10.1016/j.ins.2023.119980. |
| Appears in Collections: | Journal/Magazine Article |
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| Hu_Bipolar-valued_Fuzzy_Set.pdf | Pre-Published version | 1.41 MB | Adobe PDF | View/Open |
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