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Similarity preserving t-norm-based additions of fuzzy numbers

✍ Scribed by Anna Kolesárová

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
700 KB
Volume
91
Category
Article
ISSN
0165-0114

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✦ Synopsis

In this paper, the notions of similar fuzzy numbers and similarity preserving additions of fuzzy numbers are introduced. Using similar fuzzy numbers enables to investigate preserving the type of fuzzy numbers with respect to the t-norm-based arithmetical operations, especially in the case of fuzzy numbers with unbounded supports. The conditions for preserving similarity of fuzzy numbers with unbounded supports with respect to the additions based on continuous t-norms are given. Since the fuzzy numbers we deal with are different from fuzzy numbers considered in a previous paper [Busefal 69 (1997) 43-54], there are more possible cases described. The introduced notions are illustrated with several examples.

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