A Novel Three-Way Decision Model Based on Utility Theory in Incomplete Fuzzy Decision Systems
The existing three-way decision (TWD)-making methods cannot effectively handle incomplete multiattribute decision-making (MADM) problems in real life; it is necessary to explore an effective three-way MADM model in incomplete fuzzy decision systems (IFDSs). First, we consider the preference of decis...
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| Veröffentlicht in: | IEEE transactions on fuzzy systems 2022-07, Vol.30 (7), p.2210-2226 |
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| creator | Zhan, Jianming Ye, Jin Ding, Weiping Liu, Peide |
| description | The existing three-way decision (TWD)-making methods cannot effectively handle incomplete multiattribute decision-making (MADM) problems in real life; it is necessary to explore an effective three-way MADM model in incomplete fuzzy decision systems (IFDSs). First, we consider the preference of decision makers for each alternative and introduce the concept of predecisions, thus an IFDS is obtained. Then, the weighted conditional probabilities are calculated with the aid of the defined similarity relation. Subsequently, we introduce the notion of relative utility functions and then present an approach to determine the relative utility function values. Afterward, we construct a TWD model in IFDSs and apply it to the modeling of incomplete MADM (IMADM) problems. Our study not only enriches TWD and MADM theories but also provides a new perspective for realistic IMADM problems. At last, the results of comparative and experimental analyses demonstrate the validity, stability, and superiority of our proposed model. |
| doi_str_mv | 10.1109/TFUZZ.2021.3078012 |
| format | Article |
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First, we consider the preference of decision makers for each alternative and introduce the concept of predecisions, thus an IFDS is obtained. Then, the weighted conditional probabilities are calculated with the aid of the defined similarity relation. Subsequently, we introduce the notion of relative utility functions and then present an approach to determine the relative utility function values. Afterward, we construct a TWD model in IFDSs and apply it to the modeling of incomplete MADM (IMADM) problems. Our study not only enriches TWD and MADM theories but also provides a new perspective for realistic IMADM problems. At last, the results of comparative and experimental analyses demonstrate the validity, stability, and superiority of our proposed model.</description><identifier>ISSN: 1063-6706</identifier><identifier>EISSN: 1941-0034</identifier><identifier>DOI: 10.1109/TFUZZ.2021.3078012</identifier><identifier>CODEN: IEFSEV</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Analytical models ; Computational modeling ; Decision making ; Decision theory ; Fuzzy systems ; Incomplete fuzzy decision system (IFDS) ; Loss measurement ; Mathematical model ; multiattribute decision-making (MADM) ; Probability ; relative utility function ; Stability analysis ; System effectiveness ; three-way decision (TWD) ; Utility theory ; weighted conditional probability</subject><ispartof>IEEE transactions on fuzzy systems, 2022-07, Vol.30 (7), p.2210-2226</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2022</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c295t-9178946415b788ae6191b31cf60c2333c2d6b73897fc73202e862b668efb7dc63</citedby><cites>FETCH-LOGICAL-c295t-9178946415b788ae6191b31cf60c2333c2d6b73897fc73202e862b668efb7dc63</cites><orcidid>0000-0003-2510-9515 ; 0000-0001-5048-8145 ; 0000-0002-5842-3968 ; 0000-0002-3180-7347</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/9425590$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27903,27904,54736</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/9425590$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Zhan, Jianming</creatorcontrib><creatorcontrib>Ye, Jin</creatorcontrib><creatorcontrib>Ding, Weiping</creatorcontrib><creatorcontrib>Liu, Peide</creatorcontrib><title>A Novel Three-Way Decision Model Based on Utility Theory in Incomplete Fuzzy Decision Systems</title><title>IEEE transactions on fuzzy systems</title><addtitle>TFUZZ</addtitle><description>The existing three-way decision (TWD)-making methods cannot effectively handle incomplete multiattribute decision-making (MADM) problems in real life; it is necessary to explore an effective three-way MADM model in incomplete fuzzy decision systems (IFDSs). First, we consider the preference of decision makers for each alternative and introduce the concept of predecisions, thus an IFDS is obtained. Then, the weighted conditional probabilities are calculated with the aid of the defined similarity relation. Subsequently, we introduce the notion of relative utility functions and then present an approach to determine the relative utility function values. Afterward, we construct a TWD model in IFDSs and apply it to the modeling of incomplete MADM (IMADM) problems. Our study not only enriches TWD and MADM theories but also provides a new perspective for realistic IMADM problems. At last, the results of comparative and experimental analyses demonstrate the validity, stability, and superiority of our proposed model.</description><subject>Analytical models</subject><subject>Computational modeling</subject><subject>Decision making</subject><subject>Decision theory</subject><subject>Fuzzy systems</subject><subject>Incomplete fuzzy decision system (IFDS)</subject><subject>Loss measurement</subject><subject>Mathematical model</subject><subject>multiattribute decision-making (MADM)</subject><subject>Probability</subject><subject>relative utility function</subject><subject>Stability analysis</subject><subject>System effectiveness</subject><subject>three-way decision (TWD)</subject><subject>Utility theory</subject><subject>weighted conditional probability</subject><issn>1063-6706</issn><issn>1941-0034</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkNtKAzEQhoMoWKsvoDcBr7fmsJvDZT1UC1UvbBEKEnazs7il3dRkK2yf3tQW8SoT5v9mmA-hS0oGlBJ9Mx3N5vMBI4wOOJGKUHaEelSnNCGEp8exJoInQhJxis5CWBBC04yqHvoY4hf3DUs8_fQAyXve4Xuwdahdg59dGRu3eYASx--srZd128UkON_husHjxrrVegkt4NFmu_2HvnWhhVU4RydVvgxwcXj7aDZ6mN49JZPXx_HdcJJYprM20VQqnYqUZoVUKgdBNS04tZUglnHOLStFIbnSsrKSxytBCVYIoaAqZGkF76Pr_dy1d18bCK1ZuI1v4krDhGKaijTLYortU9a7EDxUZu3rVe47Q4nZaTS_Gs1OozlojNDVHqoB4A_QKcsyTfgP6K1tTQ</recordid><startdate>20220701</startdate><enddate>20220701</enddate><creator>Zhan, Jianming</creator><creator>Ye, Jin</creator><creator>Ding, Weiping</creator><creator>Liu, Peide</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0003-2510-9515</orcidid><orcidid>https://orcid.org/0000-0001-5048-8145</orcidid><orcidid>https://orcid.org/0000-0002-5842-3968</orcidid><orcidid>https://orcid.org/0000-0002-3180-7347</orcidid></search><sort><creationdate>20220701</creationdate><title>A Novel Three-Way Decision Model Based on Utility Theory in Incomplete Fuzzy Decision Systems</title><author>Zhan, Jianming ; Ye, Jin ; Ding, Weiping ; Liu, Peide</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c295t-9178946415b788ae6191b31cf60c2333c2d6b73897fc73202e862b668efb7dc63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Analytical models</topic><topic>Computational modeling</topic><topic>Decision making</topic><topic>Decision theory</topic><topic>Fuzzy systems</topic><topic>Incomplete fuzzy decision system (IFDS)</topic><topic>Loss measurement</topic><topic>Mathematical model</topic><topic>multiattribute decision-making (MADM)</topic><topic>Probability</topic><topic>relative utility function</topic><topic>Stability analysis</topic><topic>System effectiveness</topic><topic>three-way decision (TWD)</topic><topic>Utility theory</topic><topic>weighted conditional probability</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhan, Jianming</creatorcontrib><creatorcontrib>Ye, Jin</creatorcontrib><creatorcontrib>Ding, Weiping</creatorcontrib><creatorcontrib>Liu, Peide</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>IEEE transactions on fuzzy systems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Zhan, Jianming</au><au>Ye, Jin</au><au>Ding, Weiping</au><au>Liu, Peide</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Novel Three-Way Decision Model Based on Utility Theory in Incomplete Fuzzy Decision Systems</atitle><jtitle>IEEE transactions on fuzzy systems</jtitle><stitle>TFUZZ</stitle><date>2022-07-01</date><risdate>2022</risdate><volume>30</volume><issue>7</issue><spage>2210</spage><epage>2226</epage><pages>2210-2226</pages><issn>1063-6706</issn><eissn>1941-0034</eissn><coden>IEFSEV</coden><abstract>The existing three-way decision (TWD)-making methods cannot effectively handle incomplete multiattribute decision-making (MADM) problems in real life; it is necessary to explore an effective three-way MADM model in incomplete fuzzy decision systems (IFDSs). First, we consider the preference of decision makers for each alternative and introduce the concept of predecisions, thus an IFDS is obtained. Then, the weighted conditional probabilities are calculated with the aid of the defined similarity relation. Subsequently, we introduce the notion of relative utility functions and then present an approach to determine the relative utility function values. Afterward, we construct a TWD model in IFDSs and apply it to the modeling of incomplete MADM (IMADM) problems. Our study not only enriches TWD and MADM theories but also provides a new perspective for realistic IMADM problems. 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| ispartof | IEEE transactions on fuzzy systems, 2022-07, Vol.30 (7), p.2210-2226 |
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| subjects | Analytical models Computational modeling Decision making Decision theory Fuzzy systems Incomplete fuzzy decision system (IFDS) Loss measurement Mathematical model multiattribute decision-making (MADM) Probability relative utility function Stability analysis System effectiveness three-way decision (TWD) Utility theory weighted conditional probability |
| title | A Novel Three-Way Decision Model Based on Utility Theory in Incomplete Fuzzy Decision Systems |
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