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 |
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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 |
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