Some Interval-Valued Pythagorean Fuzzy Einstein Weighted Averaging Aggregation Operators and Their Application to Group Decision Making

Autor: Rahman Khaista, Abdullah Saleem, Khan Muhammad Sajjad Ali
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of Intelligent Systems, Vol 29, Iss 1, Pp 393-408 (2018)
Druh dokumentu: article
ISSN: 0334-1860
2191-026X
DOI: 10.1515/jisys-2017-0212
Popis: In this paper, we introduce the notion of Einstein aggregation operators, such as the interval-valued Pythagorean fuzzy Einstein weighted averaging aggregation operator and the interval-valued Pythagorean fuzzy Einstein ordered weighted averaging aggregation operator. We also discuss some desirable properties, such as idempotency, boundedness, commutativity, and monotonicity. The main advantage of using the proposed operators is that these operators give a more complete view of the problem to the decision makers. These operators provide more accurate and precise results as compared the existing method. Finally, we apply these operators to deal with multiple-attribute group decision making under interval-valued Pythagorean fuzzy information. For this, we construct an algorithm for multiple-attribute group decision making. Lastly, we also construct a numerical example for multiple-attribute group decision making.
Databáze: Directory of Open Access Journals