This paper investigates the issues of combination and normalization of interval-valued belief structures within the framework of Dempster-Shafer theory of evidence. Existing approaches are reviewed and thoroughly analyzed. The advantages and drawbacks of previous approach are presented. A new optimality approach based on uncertainty measure is developed, where the problem of combining interval-valued belief structures degenerates into combining basic probability assignments. Numerical examples are provided to illustrate the rationality of the proposed approach.
Parameter estimation based on interval-valued belief structures
Southwest University（西南大学）；Guangdong University of Foreign Studies（广东外语外贸大学）；Sun Yat-Sen University（中山大学）；Hong Kong Polytechnic University（香港理工大学）；Vanderbilt University（范德堡大学）
An Interval-Valued Utility Theory for Decision Making with Dempster-Shafer Belief Functions
Université de Technologie de Compiègne（贡比涅技术大学）；CNRS（法国国家科学研究中心）；Shanghai University（上海大学）；Institut Universitaire de France（法国大学研究院）；University of Kansas（堪萨斯大学）
Generalized Interval-valued OWA Operators with Interval Weights Derived from Interval-valued Overlap Functions
Universidade Federal do Rio Grande do Norte（北里奥格兰德联邦大学）；Universidad Pública de Navarra（纳瓦拉公立大学）；Universidade Estadual de Santa Cruz（圣克鲁斯州立大学）；Universidade Federal do Rio Grande（里奥格兰德联邦大学）
Towards interval uncertainty propagation control in bivariate aggregation processes and the introduction of width-limited interval-valued overlap functions
Universidad Pública de Navarra（纳瓦拉公立大学）；Universidade Federal do Rio Grande（里奥格兰德联邦大学）；Universidade Federal do Rio Grande do Norte（北里奥格兰德联邦大学）
Overlap functions are a class of aggregation functions that measure the overlapping degree between two values. Interval-valued overlap functions were defined as an extension to express the overlapping of interval-valued data, and they have been usually applied when there is uncertainty regarding the assignment of membership degrees. The choice of a total order for intervals can be significant, which motivated the recent developments on interval-valued aggregation functions and interval-valued overlap functions that are increasing to a given admissible order, that is, a total order that refines…
Interval Orders, Biorders and Credibility-limited Belief Revision
Cardiff University, United Kingdom（Cardiff大学，英国）；Université Sorbonne Paris Nord, Inserm, Sorbonne Université, Limics（巴黎-索邦大学，Inserm，索邦大学，Limics）；CAIR, University of Cape Town, South Africa（开普敦大学，南非）；ISTI-CNR, Pisa, Italy（意大利比萨CNR ISTI）
On the algebraic structures of the space of interval-valued intuitionistic fuzzy numbers
Southwest Petroleum University（西南石油大学）；Zhuhai College of Jilin University（吉林大学珠海学院）；Karadeniz Technical University（卡拉德尼兹技术大学）；Shandong University of Finance and Economics（山东财经大学）
Modified EDAS Method Based on Cumulative Prospect Theory for Multiple Attributes Group Decision Making with Interval-valued Intuitionistic Fuzzy Information
