Intuitionistic 2-tuple linguistic aggregation information based on Einstein operations and their applications in group decision making

2020 ◽  
Vol 53 (6) ◽  
pp. 4625-4650
Author(s):  
Shahzad Faizi ◽  
Shoaib Nawaz ◽  
Attique Ur-Rehman
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Einstein Operations

scholarly journals SOME HESITANT FUZZY GEOMETRIC OPERATORS AND THEIR APPLICATION TO MULTIPLE ATTRIBUTE GROUP DECISION MAKING

2014 ◽  
Vol 20 (3) ◽  
pp. 371-390 ◽  
Author(s):  
Weize Wang ◽  
Xinwang Liu
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Fuzzy Set ◽  
Group Decision ◽  
Aggregation Operators ◽  
Hesitant Fuzzy Set ◽  
Extension Principle ◽  
Multiple Attribute ◽  
Einstein Operations ◽  
Geometric Operator

Hesitant fuzzy set (HFS), a generalization of fuzzy set (FS), permits the membership degree of an element of a set to be represented as several possible values between 0 and 1. In this paper, motivated by the extension principle of HFs, we export Einstein operations on FSs to HFs, and develop some new aggregation operators, such as the hesitant fuzzy Einstein weighted geometric operator, hesitant fuzzy Einstein ordered weighted geometric operator, and hesitant fuzzy Einstein hybrid weighted geometric operator, for aggregating hesitant fuzzy elements. In addition, we discuss the correlations between the proposed aggregation operators and the existing ones respectively. Finally, we apply the hesitant fuzzy Einstein weighted geometric operator to multiple attribute group decision making with hesitant fuzzy information. Some numerical examples are given to illustrate the proposed aggregation operators.

scholarly journals Linguistic Pythagorean Einstein Operators and Their Application to Decision Making

Information ◽  
2020 ◽  
Vol 11 (1) ◽  
pp. 46 ◽  
Author(s):  
Yuan Rong ◽  
Zheng Pei ◽  
Yi Liu
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Fuzzy Numbers ◽  
Group Decision ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Linguistic Variables ◽  
Comparison Analysis ◽  
Einstein Operations ◽  
Pythagorean Fuzzy Numbers

Linguistic Pythagorean fuzzy (LPF) set is an efficacious technique to comprehensively represent uncertain assessment information by combining the Pythagorean fuzzy numbers and linguistic variables. In this paper, we define several novel essential operations of LPF numbers based upon Einstein operations and discuss several relations between these operations. For solving the LPF numbers fusion problem, several LPF aggregation operators, including LPF Einstein weighted averaging (LPFEWA) operator, LPF Einstein weighted geometric (LPFEWG) operator and LPF Einstein hybrid operator, are propounded; the prominent characteristics of these operators are investigated as well. Furthermore, a multi-attribute group decision making (MAGDM) approach is presented on the basis of the developed operators under an LPF environment. Ultimately, two application cases are utilized to demonstrate the practicality and feasibility of the developed decision approach and the comparison analysis is provided to manifest the merits of it.

Sign in / Sign up

Export Citation Format

Share Document