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Multidimensional interval type 2 epistemic fuzzy arithmetic | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 3، دوره 18، شماره 5، آذر و دی 2021، صفحه 19-36 اصل مقاله (657.15 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2021.6253 | ||
| نویسندگان | ||
| A. Piegat* 1؛ M. Landowski2 | ||
| 1Faculty of Computer Science, West Pomeranian University of Technology, Szczecin, Poland | ||
| 2Faculty of Computer Science and Telecommunications, Maritime University of Szczecin, Szczecin, Poland | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Fuzzy arithmetic؛ epistemic fuzzy arithmetic؛ multidimensional fuzzy arithmetic؛ fuzzy arithmetic type 2؛ arithmetic of interval type 2 fuzzy numbers؛ granular computing؛ soft computing؛ uncertainty analysis؛ artificial intelligence | ||
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آمار تعداد مشاهده مقاله: 605 تعداد دریافت فایل اصل مقاله: 719 |
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