Interval-valued intuitionistic fuzzy preference relation is a useful tool to express decision maker's interval-valued intuitionistic fuzzy preference information over criteria in the process of multi-criteria decision making. How to derive the priority weights from an interval-valued intuitionistic fuzzy preference relation is an interesting and important issue in decision making with interval-valued intuitionistic fuzzy preference relation(s). In this paper, some new concepts such as interval-valued interval fuzzy sets, interval-valued interval fuzzy preference relation and consistent interval-valued intuitionistic fuzzy preference relation, are defined, and the equivalent interval-valued interval fuzzy preference relation of intervalvalued intuitionistic fuzzy preference relation is given. Then a method for estimating criteria weights from interval-valued intuitionistic fuzzy preference relations is developed, two numerical examples are provided to illustrate the developed method.
机构:
Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R ChinaBeijing Normal Univ, Minist Educ, Key Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China
Li, De-Qing
;
Wang, Jia-Yin
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机构:
Beijing Normal Univ, Minist Educ, Key Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Minist Educ, Key Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China
Wang, Jia-Yin
;
Li, Hong-Xing
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机构:
Dalian Univ Technol, Sch Elect & Informat Engn, Dalian 116023, Peoples R ChinaBeijing Normal Univ, Minist Educ, Key Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China
机构:
Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R ChinaBeijing Normal Univ, Minist Educ, Key Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China
Li, De-Qing
;
Wang, Jia-Yin
论文数: 0引用数: 0
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机构:
Beijing Normal Univ, Minist Educ, Key Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Minist Educ, Key Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China
Wang, Jia-Yin
;
Li, Hong-Xing
论文数: 0引用数: 0
h-index: 0
机构:
Dalian Univ Technol, Sch Elect & Informat Engn, Dalian 116023, Peoples R ChinaBeijing Normal Univ, Minist Educ, Key Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China