n-vectors of fuzzy numbers on quasi-finite set of R and n-fuzzy numbers on quasi-finite set of Rn
Article No.: 373, Pages 1 - 4
Abstract
In this paper, the concepts of n-dimensional vectors of (1-dimensional) fuzzy numbers on quasi-finite set of (1-dimensional) real number space and n-dimensional fuzzy numbers on quasi-finite set of n-dimensional real number space are put forward, and a representation theorem of fuzzy numbers on quasi-finite set of real number space is obtained. Then we establish a one-to-one correspondence between the set of n-dimensional vector of fuzzy numbers on quasi-finite set of real number space and the set of n-dimensional fuzzy numbers on quasi-finite set of n-dimensional real number space, and obtain a expression of the relationship between the joint membership function and marginal membership functions of n-dimensional fuzzy number on quasi-finite set of n-dimensional real number space.
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May 2021
2053 pages
ISBN:9781450390200
DOI:10.1145/3469213
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Association for Computing Machinery
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Published: 18 August 2021
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ICAIIS 2021
ICAIIS 2021: 2021 2nd International Conference on Artificial Intelligence and Information Systems
May 28 - 30, 2021
Chongqing, China
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