Some interval-valued intuitionistic uncertain linguistic Choquet operators and their application to multi-attribute group decision making

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• 作者：Fanyong Meng^a ; ^{mengfanyongtjie@163.com" class="auth_mail} ; Xiaohong Chen^b ; Qiang Zhang^c
• 关键词：Multi-attribute group decision making ; Interval-valued intuitionistic uncertain linguistic set ; Fuzzy measure ; Choquet integral ; Generalized Shapley function
• 刊名：Applied Mathematical Modelling
• 出版年：1 May, 2014
• 年：2014
• 卷：38
• 期：9-10
• 页码：2543-2557
• 全文大小：504 K

文摘

In this study a generated admissible order between interval-valued intuitionistic uncertain linguistic numbers using two continuous functions is introduced. Then, two interval-valued intuitionistic uncertain linguistic operators called the interval-valued intuitionistic uncertain linguistic Choquet averaging (IVIULCA) operator and the interval-valued intuitionistic uncertain linguistic Choquet geometric mean (IVIULCGM) operator are defined, which consider the interactive characteristics among elements in a set. In order to overall reflect the correlations between them, we further define the generalized Shapley interval-valued intuitionistic uncertain linguistic Choquet averaging (GS-IVIULCA) operator and the generalized Shapley interval-valued intuitionistic uncertain linguistic Choquet geometric mean (GS-IVIULCGM) operator. Moreover, if the information about the weights of experts and attributes is incompletely known, the models for the optimal fuzzy measures on expert set and attribute set are established, respectively. Finally, a method to multi-attribute group decision making under interval-valued intuitionistic uncertain linguistic environment is developed, and an example is provided to show the specific application of the developed procedure.