Construction of Fuzzy Linguistic Approximate Concept Lattice in an Incomplete Fuzzy Linguistic Formal Context

Abstract Uncertainty research is one of the critical problems in artificial intelligence. In an uncertain environment, a large quantity of information is expressed in linguistic values. Aiming at the missing linguistic-valued information, we first propose incomplete fuzzy linguistic formal context a...

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Main Authors: Dongqiang Yang, Xinran Yang, Hui Jia, Lixian Xu, Jin Guo
Format: Article
Language:English
Published: Springer 2022-08-01
Series:International Journal of Computational Intelligence Systems
Subjects:
Online Access:https://doi.org/10.1007/s44196-022-00125-1
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author Dongqiang Yang
Xinran Yang
Hui Jia
Lixian Xu
Jin Guo
author_facet Dongqiang Yang
Xinran Yang
Hui Jia
Lixian Xu
Jin Guo
author_sort Dongqiang Yang
collection DOAJ
description Abstract Uncertainty research is one of the critical problems in artificial intelligence. In an uncertain environment, a large quantity of information is expressed in linguistic values. Aiming at the missing linguistic-valued information, we first propose incomplete fuzzy linguistic formal context and then discuss the fuzzy linguistic approximate concept. Our proposal can describe the attributes of objects from two aspects simultaneously. One is an object's essential attributes, and another includes the essential and possible attributes. As a result, more object-related information can be obtained to reduce information loss effectively. We design a similarity metric for correcting the errors caused by the initial complement operation. We then construct a corresponding fuzzy linguistic approximate concept lattice for the task of approximate information retrieval. Finally, we illustrate the applicability and feasibility of the proposed approach with concrete examples, which clearly show that our approach can better deal with the linguistic-valued information in an uncertain environment.
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spelling doaj.art-cd84cd672a4d46a8afb404ffcecc0df82022-12-22T02:15:56ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832022-08-011511910.1007/s44196-022-00125-1Construction of Fuzzy Linguistic Approximate Concept Lattice in an Incomplete Fuzzy Linguistic Formal ContextDongqiang Yang0Xinran Yang1Hui Jia2Lixian Xu3Jin Guo4School of Computer Science and Technology, Shandong Jianzhu UniversitySchool of Computer and Information Technology, Liaoning Normal UniversityBaita District Erdaojie Primary School of LiaoyangSchool of Computer Science and Technology, Shandong Jianzhu UniversitySchool of Computer and Information Technology, Liaoning Normal UniversityAbstract Uncertainty research is one of the critical problems in artificial intelligence. In an uncertain environment, a large quantity of information is expressed in linguistic values. Aiming at the missing linguistic-valued information, we first propose incomplete fuzzy linguistic formal context and then discuss the fuzzy linguistic approximate concept. Our proposal can describe the attributes of objects from two aspects simultaneously. One is an object's essential attributes, and another includes the essential and possible attributes. As a result, more object-related information can be obtained to reduce information loss effectively. We design a similarity metric for correcting the errors caused by the initial complement operation. We then construct a corresponding fuzzy linguistic approximate concept lattice for the task of approximate information retrieval. Finally, we illustrate the applicability and feasibility of the proposed approach with concrete examples, which clearly show that our approach can better deal with the linguistic-valued information in an uncertain environment.https://doi.org/10.1007/s44196-022-00125-1Incomplete formal contextApproximate conceptConcept latticeFuzzy linguistic approximate concept
spellingShingle Dongqiang Yang
Xinran Yang
Hui Jia
Lixian Xu
Jin Guo
Construction of Fuzzy Linguistic Approximate Concept Lattice in an Incomplete Fuzzy Linguistic Formal Context
International Journal of Computational Intelligence Systems
Incomplete formal context
Approximate concept
Concept lattice
Fuzzy linguistic approximate concept
title Construction of Fuzzy Linguistic Approximate Concept Lattice in an Incomplete Fuzzy Linguistic Formal Context
title_full Construction of Fuzzy Linguistic Approximate Concept Lattice in an Incomplete Fuzzy Linguistic Formal Context
title_fullStr Construction of Fuzzy Linguistic Approximate Concept Lattice in an Incomplete Fuzzy Linguistic Formal Context
title_full_unstemmed Construction of Fuzzy Linguistic Approximate Concept Lattice in an Incomplete Fuzzy Linguistic Formal Context
title_short Construction of Fuzzy Linguistic Approximate Concept Lattice in an Incomplete Fuzzy Linguistic Formal Context
title_sort construction of fuzzy linguistic approximate concept lattice in an incomplete fuzzy linguistic formal context
topic Incomplete formal context
Approximate concept
Concept lattice
Fuzzy linguistic approximate concept
url https://doi.org/10.1007/s44196-022-00125-1
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