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.
Original language | English |
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Article number | 119980 |
Journal | Information Sciences |
Volume | 657 |
DOIs | |
Publication status | Published - Feb 2024 |
Keywords
- Bipolar-valued fuzzy sets
- Intersected interval-valued fuzzy sets
- Interval-valued fuzzy sets
- Interval-valued rough fuzzy sets
ASJC Scopus subject areas
- Software
- Control and Systems Engineering
- Theoretical Computer Science
- Computer Science Applications
- Information Systems and Management
- Artificial Intelligence