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Article

Linguistic Pythagorean Einstein Operators and Their Application to Decision Making

by 1, 1,* and 2,3
1
School of Science, Xi Hua University, Chengdu 610039, China
2
Data Recovery Key Laboratory of Sichuan Province, School of Mathematics and Information Science, Neijiang Normal University, Neijiang 641000, China
3
Numerical Simulation Key Laboratory of Sichuan Province, Neijiang Normal University, Neijiang 641000, China
*
Author to whom correspondence should be addressed.
Received: 25 November 2019 / Revised: 12 January 2020 / Accepted: 13 January 2020 / Published: 16 January 2020
(This article belongs to the Special Issue Artificial Intelligence and Decision Support Systems)
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. View Full-Text
Keywords: multi-attribute group decision making; Linguistic Pythagorean fuzzy set; aggregation operator; Einstein operations multi-attribute group decision making; Linguistic Pythagorean fuzzy set; aggregation operator; Einstein operations
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MDPI and ACS Style

Rong, Y.; Pei, Z.; Liu, Y. Linguistic Pythagorean Einstein Operators and Their Application to Decision Making. Information 2020, 11, 46. https://0-doi-org.brum.beds.ac.uk/10.3390/info11010046

AMA Style

Rong Y, Pei Z, Liu Y. Linguistic Pythagorean Einstein Operators and Their Application to Decision Making. Information. 2020; 11(1):46. https://0-doi-org.brum.beds.ac.uk/10.3390/info11010046

Chicago/Turabian Style

Rong, Yuan, Zheng Pei, and Yi Liu. 2020. "Linguistic Pythagorean Einstein Operators and Their Application to Decision Making" Information 11, no. 1: 46. https://0-doi-org.brum.beds.ac.uk/10.3390/info11010046

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