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- Title
Multidimensional interval type 2 epistemic fuzzy arithmetic.
- Authors
Piegat, A.; Landowski, M.
- Abstract
The article presents a new, multidimensional arithmetic of type 2 fuzzy numbers (M-IT2-F arithmetic) in which the result is a multidimensional fuzzy set. This arithmetic increases the accuracy of calculations and the scope of problems solved in relation to the currently used interval type 2 standard fuzzy arithmetic (IT2-SF arithmetic). The proposed M-IT2-F arithmetic has mathematical properties that IT2-SF arithmetic does not have. Thanks to these properties, it provides accurate calculation results that are not over- or under-estimated in terms of uncertainty. The paper contains comparisons of both types of arithmetic in application to two problems. Fuzzy arithmetic is not a finished work and is in a phase of continuous improvement and development. M-IT2-F arithmetic is a higher form of M-IT2 (non-fuzzy) arithmetic.
- Subjects
FUZZY numbers; ARTIFICIAL intelligence; FUZZY arithmetic; FUZZY sets; ARITHMETIC; INTERVAL analysis
- Publication
Iranian Journal of Fuzzy Systems, 2021, Vol 18, Issue 5, p19
- ISSN
1735-0654
- Publication type
Article