A Fuzzy Rough Set Model Based on Reliability Over Dual-Universe and Its Applications
In this paper, using the weak fuzzy similarity relation, we propose a new similarity degree which describes the relationships between the 2-tuples in U × V. In addition, we propose the reliability of each 2-tuples and use this reliability to give the calculation method of the similarity d...
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doaj-1f366a743f5049beac534de647d2f6fb2021-03-29T22:20:21ZengIEEEIEEE Access2169-35362019-01-017506055061710.1109/ACCESS.2019.29110968691438A Fuzzy Rough Set Model Based on Reliability Over Dual-Universe and Its ApplicationsYabin Shao0https://orcid.org/0000-0003-1001-7132Xiaoding Qi1Zengtai Gong2School of Science, Chongqing University of Posts and Telecommunications, Chongqing, ChinaSchool of Science, Chongqing University of Posts and Telecommunications, Chongqing, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou, ChinaIn this paper, using the weak fuzzy similarity relation, we propose a new similarity degree which describes the relationships between the 2-tuples in U × V. In addition, we propose the reliability of each 2-tuples and use this reliability to give the calculation method of the similarity degree between the 2-tuples and the approximation set X. Using this similarity degree, a new fuzzy rough set model is proposed. Furthermore, a new fuzzy rough entropy which describing the knowledge information in the dual-universe U × V is defined. Then, we present a decision-making model to solve the problems, in which the elements in two different universes have different attributes. Finally, we give a significant algorithm which is applied to a decision-making problem in the dual-universe, and the effectiveness of this algorithm is verified by a numerical example.https://ieeexplore.ieee.org/document/8691438/Decision-making methodfuzzy rough entropyreliabilityrough setsimilarity degree |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yabin Shao Xiaoding Qi Zengtai Gong |
spellingShingle |
Yabin Shao Xiaoding Qi Zengtai Gong A Fuzzy Rough Set Model Based on Reliability Over Dual-Universe and Its Applications IEEE Access Decision-making method fuzzy rough entropy reliability rough set similarity degree |
author_facet |
Yabin Shao Xiaoding Qi Zengtai Gong |
author_sort |
Yabin Shao |
title |
A Fuzzy Rough Set Model Based on Reliability Over Dual-Universe and Its Applications |
title_short |
A Fuzzy Rough Set Model Based on Reliability Over Dual-Universe and Its Applications |
title_full |
A Fuzzy Rough Set Model Based on Reliability Over Dual-Universe and Its Applications |
title_fullStr |
A Fuzzy Rough Set Model Based on Reliability Over Dual-Universe and Its Applications |
title_full_unstemmed |
A Fuzzy Rough Set Model Based on Reliability Over Dual-Universe and Its Applications |
title_sort |
fuzzy rough set model based on reliability over dual-universe and its applications |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2019-01-01 |
description |
In this paper, using the weak fuzzy similarity relation, we propose a new similarity degree which describes the relationships between the 2-tuples in U × V. In addition, we propose the reliability of each 2-tuples and use this reliability to give the calculation method of the similarity degree between the 2-tuples and the approximation set X. Using this similarity degree, a new fuzzy rough set model is proposed. Furthermore, a new fuzzy rough entropy which describing the knowledge information in the dual-universe U × V is defined. Then, we present a decision-making model to solve the problems, in which the elements in two different universes have different attributes. Finally, we give a significant algorithm which is applied to a decision-making problem in the dual-universe, and the effectiveness of this algorithm is verified by a numerical example. |
topic |
Decision-making method fuzzy rough entropy reliability rough set similarity degree |
url |
https://ieeexplore.ieee.org/document/8691438/ |
work_keys_str_mv |
AT yabinshao afuzzyroughsetmodelbasedonreliabilityoverdualuniverseanditsapplications AT xiaodingqi afuzzyroughsetmodelbasedonreliabilityoverdualuniverseanditsapplications AT zengtaigong afuzzyroughsetmodelbasedonreliabilityoverdualuniverseanditsapplications AT yabinshao fuzzyroughsetmodelbasedonreliabilityoverdualuniverseanditsapplications AT xiaodingqi fuzzyroughsetmodelbasedonreliabilityoverdualuniverseanditsapplications AT zengtaigong fuzzyroughsetmodelbasedonreliabilityoverdualuniverseanditsapplications |
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1724191816042938368 |