Some hesitant interval-valued fuzzy aggregation operators and their applications to multiple attribute decision making

Authors:
Guiwu Wei;Xiaofei Zhao;Rui Lin
Affiliations:
-;-;-
Venue:
Knowledge-Based Systems
Year:
2013

Citing 34
Cited 2

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Abstract

In this paper, we investigate the multiple attribute decision making (MADM) problems in which attribute values take the form of hesitant interval-valued fuzzy information. Firstly, definition and some operational laws of hesitant interval-valued fuzzy elements and score function of hesitant interval-valued fuzzy elements are introduced. Then, we have developed some hesitant interval-valued fuzzy aggregation operators: hesitant interval-valued fuzzy weighted averaging (HIVFWA) operator, hesitant interval-valued fuzzy ordered weighted averaging (HIVFOWA) operator, the hesitant interval-valued fuzzy weighted geometric (HIVFWG) operator, hesitant interval-valued fuzzy ordered weighted geometric (HIVFOWG) operator, hesitant interval-valued fuzzy choquet ordered averaging (HIVFCOA) operator, hesitant interval-valued fuzzy choquet ordered geometric (HIVFCOG) operator, hesitant interval-valued fuzzy prioritized aggregation operators and hesitant interval-valued fuzzy power aggregation operators. We have applied the HIVFCOA and HIVFCOG operators to multiple attribute decision making with hesitant interval-valued fuzzy information. Finally an illustrative example has been given to show the developed method.