Symmetric fuzzy numbers and additive equivalence of fuzzy numbers
โ Scribed by Dong Qiu, Weiquan Zhang
- Book ID
- 120912789
- Publisher
- Springer
- Year
- 2013
- Tongue
- English
- Weight
- 275 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1432-7643
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๐ SIMILAR VOLUMES
In this paper, we extend the conventional fuzzy numbers and introduce a new fuzzy number system named vector space of ordered pairs (VSOP). Then, we axiomatically define the fuzzy comparison relations (>-, ' L-\_ and \_~) on VSOP starting from the requirements of fuzzy ordering and vector ordering.
We apply the concept of "graded set" to define several kinds of "graded numbers". We consider the operations, order and convergence for graded numbers. The relationship between these concepts and the corresponding ones for Zadeh's and Hutton's fuzzy numbers gives rise to the definition of "graded co