Conjunctive and disjunctive combination rules in random permutation set theory: A layer-2 belief structure perspective

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dc.authoridZhou, Qianli/0000-0001-5087-3617
dc.authorwosidZhou, Qianli/KEI-1380-2024
dc.contributor.authorZhou, Qianli
dc.contributor.authorCui, Ye
dc.contributor.authorPedrycz, Witold
dc.contributor.authorDeng, Yong
dc.date.accessioned2024-05-19T14:42:42Z
dc.date.available2024-05-19T14:42:42Z
dc.date.issued2024
dc.departmentİstinye Üniversitesien_US
dc.description.abstractIn uncertainty reasoning, conjunctive and disjunctive combination rules are the core tools for information updates. As an extension of evidential reasoning, random permutation set reasoning models uncertain information based on ordered focal sets. Existing combination rules in random permutation set theory, orthogonal sums, do not satisfy the commutativity of one of the original distributions and overly obey its order information. In this paper, the random permutation set theory is interpreted as an refined extension of Dempster-Shafer theory, and a layer-2 belief structure is proposed to describe the permutation event space. Compared with the traditional belief structure, the proposed structure can model both symbolic and numerical uncertainty. Based on the above, the conjunctive and disjunctive combination rules in Dempster-Shafer theory are extended to random permutation set theory. Through properties analysis and simulation demonstration, we demonstrate that the proposed methods can not only resolve the counter-intuitive results of orthogonal sums, but make full use of order information in distributions as well. In addition, we also extend the product space operations and discounting methods based on the proposed methods, and give a general framework of multi-source information fusion under the random permutation set theory.en_US
dc.description.sponsorshipNational Natural Science Foundation of China [62373078]; China Scholarship Council [202206070008]en_US
dc.description.sponsorshipAuthor Qianli Zhou specially thanks to Lipeng Pan and Jixiang Deng, and dedicates this paper to remember the three years spent with them at the University of Electronic Science and Technology of China. The work is partially supported by the National Natural Science Foundation of China (Grant No. 62373078) , and by the China Scholarship Council (202206070008)en_US
dc.identifier.doi10.1016/j.inffus.2023.102083
dc.identifier.issn1566-2535
dc.identifier.issn1872-6305
dc.identifier.scopus2-s2.0-85174841554en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org10.1016/j.inffus.2023.102083
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5273
dc.identifier.volume102en_US
dc.identifier.wosWOS:001101484400001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofInformation Fusionen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectInformation Fusionen_US
dc.subjectConjunctive And Disjunctive Rulesen_US
dc.subjectRandom Permutation Seten_US
dc.subjectOrdered Focal Seten_US
dc.subjectLayer-2 Belief Structureen_US
dc.titleConjunctive and disjunctive combination rules in random permutation set theory: A layer-2 belief structure perspectiveen_US
dc.typeArticleen_US

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