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Probability and Fuzziness: A Case Study
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Author(s): Mamoni Dhar (Science College, Kokrajhar, India)
Copyright: 2022
Pages: 15
Source title:
Handbook of Research on Advances and Applications of Fuzzy Sets and Logic
Source Author(s)/Editor(s): Said Broumi (Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco & Regional Center for the Professions of Education and Training (CRMEF), Casablanca-Settat, Morocco)
DOI: 10.4018/978-1-7998-7979-4.ch020
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Abstract
From the beginning of the theory of fuzzy sets, it has been a matter of concern for many researchers in the field to find an appropriate connection between probability and possibility. One such effort can be found in the randomness-fuzziness consistency principle where a fuzzy number of the type [α,β,γ] is expressed as a combination of two probability laws. The main intention of this work is to show that a fuzzy number of the type [α,β,β] or [β,β,γ] can be expressed by one probability law with the help of superimposition of uniformly fuzzy intervals.
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