Pub Date : 2021-04-15DOI: 10.1007/s10700-021-09360-1
Jie Tang, Fanyong Meng, Yongliang Zhang
Probabilistic linguistic variable is a kind of powerful qualitative fuzzy sets, which permits the decision makers (DMs) to apply several linguistic variables with probabilities to denote a judgment. This paper studies group decision making (GDM) with normalized probability linguistic preference relations (NPLPRs). To achieve this goal, an acceptably multiplicative consistency based interactive algorithm is provided to derive common probability linguistic preference relations (CPLPRs) from PLPRs, by which a new acceptably multiplicative consistency concept for NPLPRs is defined. When the multiplicative consistency of NPLPRs is unacceptable, models for deriving acceptably multiplicatively consistent NPLPRs are constructed. Then, it studies incomplete NPLPRs (InNPLPRs) and offers a common probability and acceptably multiplicative consistency based interactive algorithm to determine missing judgments. Furthermore, a correlation coefficient between CPLPRs is provided, by which the weights of the DMs are ascertained. Meanwhile, a consensus index based on CPLPRs is defined. When the consensus does not reach the requirement, a model to increase the level of consensus is built that can ensure the adjusted LPRs to meet the multiplicative consistency and consensus requirement. Moreover, an interactive algorithm for GDM with NPLPRs is provided, which can address unacceptably multiplicatively consistent InNPLPRs. Finally, an example about the evaluation of green design schemes for new energy vehicles is provided to indicate the application of the new algorithm and comparative analysis is conducted.
{"title":"Common probability-based interactive algorithms for group decision making with normalized probability linguistic preference relations","authors":"Jie Tang, Fanyong Meng, Yongliang Zhang","doi":"10.1007/s10700-021-09360-1","DOIUrl":"https://doi.org/10.1007/s10700-021-09360-1","url":null,"abstract":"<p>Probabilistic linguistic variable is a kind of powerful qualitative fuzzy sets, which permits the decision makers (DMs) to apply several linguistic variables with probabilities to denote a judgment. This paper studies group decision making (GDM) with normalized probability linguistic preference relations (NPLPRs). To achieve this goal, an acceptably multiplicative consistency based interactive algorithm is provided to derive common probability linguistic preference relations (CPLPRs) from PLPRs, by which a new acceptably multiplicative consistency concept for NPLPRs is defined. When the multiplicative consistency of NPLPRs is unacceptable, models for deriving acceptably multiplicatively consistent NPLPRs are constructed. Then, it studies incomplete NPLPRs (InNPLPRs) and offers a common probability and acceptably multiplicative consistency based interactive algorithm to determine missing judgments. Furthermore, a correlation coefficient between CPLPRs is provided, by which the weights of the DMs are ascertained. Meanwhile, a consensus index based on CPLPRs is defined. When the consensus does not reach the requirement, a model to increase the level of consensus is built that can ensure the adjusted LPRs to meet the multiplicative consistency and consensus requirement. Moreover, an interactive algorithm for GDM with NPLPRs is provided, which can address unacceptably multiplicatively consistent InNPLPRs. Finally, an example about the evaluation of green design schemes for new energy vehicles is provided to indicate the application of the new algorithm and comparative analysis is conducted.</p>","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"14 10","pages":""},"PeriodicalIF":4.7,"publicationDate":"2021-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-04-15DOI: 10.1007/s10700-021-09359-8
Meng Zhao, Xinyuan Shen, Huchang Liao, Mingyao Cai
Online reviews have become an increasingly popular information source in consumer’s decision making process. To help consumers make informed decisions, how to select products through online reviews is a valuable research topic. This work deals with a personized product selection problem with review sentiments under probabilistic linguistic circumstances. To this end, we propose a multi-criteria decision making (MCDM) method incorporating personalized heuristic judgments in the prospect theory (PT). We focus on the role of personalized heuristic judgments on review helpfulness in the final decision outcomes. We demonstrate the consistency between the three common heuristic judgments (with respect to review valence, sentiment extremity, and aspiration levels) and the three behavioral principles of the PT. Then, the products are ranked with the probabilistic linguistic term set (PLTS) input, based on the proposed adjustable PT framework, in which the coefficients of negativity bias are derived from the consumer’s heuristic judgments. Finally, a real case on TripAdvisor.com and two simulation experiments are given to illustrate the validity of the proposed method.
{"title":"Selecting products through text reviews: An MCDM method incorporating personalized heuristic judgments in the prospect theory","authors":"Meng Zhao, Xinyuan Shen, Huchang Liao, Mingyao Cai","doi":"10.1007/s10700-021-09359-8","DOIUrl":"https://doi.org/10.1007/s10700-021-09359-8","url":null,"abstract":"<p>Online reviews have become an increasingly popular information source in consumer’s decision making process. To help consumers make informed decisions, how to select products through online reviews is a valuable research topic. This work deals with a personized product selection problem with review sentiments under probabilistic linguistic circumstances. To this end, we propose a multi-criteria decision making (MCDM) method incorporating personalized heuristic judgments in the prospect theory (PT). We focus on the role of personalized heuristic judgments on review helpfulness in the final decision outcomes. We demonstrate the consistency between the three common heuristic judgments (with respect to review valence, sentiment extremity, and aspiration levels) and the three behavioral principles of the PT. Then, the products are ranked with the probabilistic linguistic term set (PLTS) input, based on the proposed adjustable PT framework, in which the coefficients of negativity bias are derived from the consumer’s heuristic judgments. Finally, a real case on TripAdvisor.com and two simulation experiments are given to illustrate the validity of the proposed method.</p>","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"54 1","pages":""},"PeriodicalIF":4.7,"publicationDate":"2021-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138542302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-03-31DOI: 10.1007/s10700-021-09350-3
Alain Pérez-Alonso, Ignacio J. Blanco, J. Serrano, Luisa M. González-González
{"title":"Incremental maintenance of discovered fuzzy association rules","authors":"Alain Pérez-Alonso, Ignacio J. Blanco, J. Serrano, Luisa M. González-González","doi":"10.1007/s10700-021-09350-3","DOIUrl":"https://doi.org/10.1007/s10700-021-09350-3","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"20 1","pages":"429 - 449"},"PeriodicalIF":4.7,"publicationDate":"2021-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10700-021-09350-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42922344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-03-13DOI: 10.1007/s10700-021-09351-2
Jiahui Chai, Sidong Xian, Sichong Lu
{"title":"Z probabilistic linguistic term sets and its application in multi-attribute group decision making","authors":"Jiahui Chai, Sidong Xian, Sichong Lu","doi":"10.1007/s10700-021-09351-2","DOIUrl":"https://doi.org/10.1007/s10700-021-09351-2","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"20 1","pages":"529 - 566"},"PeriodicalIF":4.7,"publicationDate":"2021-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10700-021-09351-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45433385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-03-05DOI: 10.1007/s10700-021-09354-z
Weiwei Wang, D. Ralescu
{"title":"Option pricing formulas based on uncertain fractional differential equation","authors":"Weiwei Wang, D. Ralescu","doi":"10.1007/s10700-021-09354-z","DOIUrl":"https://doi.org/10.1007/s10700-021-09354-z","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"20 1","pages":"471 - 495"},"PeriodicalIF":4.7,"publicationDate":"2021-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10700-021-09354-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49483754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-02-15DOI: 10.1007/s10700-021-09352-1
Ke Wang, Yulin Zhou, Guichao Tian, M. Goh
{"title":"A structured solution framework for fuzzy minimum spanning tree problem and its variants under different criteria","authors":"Ke Wang, Yulin Zhou, Guichao Tian, M. Goh","doi":"10.1007/s10700-021-09352-1","DOIUrl":"https://doi.org/10.1007/s10700-021-09352-1","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"20 1","pages":"497 - 528"},"PeriodicalIF":4.7,"publicationDate":"2021-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10700-021-09352-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48560703","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-10-26DOI: 10.1007/s10700-020-09347-4
Yinfeng Du, Dun Liu
{"title":"A novel approach to relative importance ratings of customer requirements in QFD based on probabilistic linguistic preferences","authors":"Yinfeng Du, Dun Liu","doi":"10.1007/s10700-020-09347-4","DOIUrl":"https://doi.org/10.1007/s10700-020-09347-4","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"20 1","pages":"365 - 395"},"PeriodicalIF":4.7,"publicationDate":"2020-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10700-020-09347-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41459794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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