An extended technique for order preference by similarity to ideal solution group decision-making method with linguistic interval-valued intuitionistic fuzzy information

2018 ◽  
Vol 26 (1-2) ◽  
pp. 16-26 ◽  
Author(s):  
Harish Garg ◽  
Kamal Kumar
2013 ◽  
Vol 2013 ◽  
pp. 1-33 ◽  
Author(s):  
Zhiming Zhang

Hesitant fuzzy sets, permitting the membership of an element to be a set of several possible values, can be used as an efficient mathematical tool for modelling people’s hesitancy in daily life. In this paper, we extend the hesitant fuzzy set to interval-valued intuitionistic fuzzy environments and propose the concept of interval-valued intuitionistic hesitant fuzzy set, which allows the membership of an element to be a set of several possible interval-valued intuitionistic fuzzy numbers. The aim of this paper is to develop a series of aggregation operators for interval-valued intuitionistic hesitant fuzzy information. Then, some desired properties of the developed operators are studied, and the relationships among these operators are discussed. Furthermore, we apply these aggregation operators to develop an approach to multiple attribute group decision-making with interval-valued intuitionistic hesitant fuzzy information. Finally, a numerical example is provided to illustrate the application of the developed approach.


2016 ◽  
Vol 40 (2) ◽  
pp. 1554-1564 ◽  
Author(s):  
Shide Sadat Hashemi ◽  
Seyed Hossein Razavi Hajiagha ◽  
Edmundas Kazimieras Zavadskas ◽  
Hannan Amoozad Mahdiraji

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