Shapley interval-valued dual hesitant fuzzy Choquet integral aggregation operators in multiple attribute decision making

In this paper, we propose some new aggregation operators which are based on the Choquet integral and Einstein operations. The operators not only consider the importance of the elements or their ordered positions, but also consider the interactions phenomena among the decision making criteria or their ordered positions. It is shown that the proposed operators generalize several intuitionistic fuzzy Einstein aggregation operators. Moreover, some of their properties are investigated. We also study the relationship between the proposed operators and the existing intuitionistic fuzzy Choquet aggregation operators. Furthermore, an approach based on intuitionistic fuzzy Einstein Choquet integral operators is presented for multiple attribute decision-making problem. Finally, a practical decision making problem involving the water resource management is given to illustrate the multiple attribute decision making process.

Download Full-text

Density aggregation operators for interval-valued q-rung orthopair fuzzy numbers and their application in multiple attribute decision making

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-210376 ◽

2021 ◽

pp. 1-14

Author(s):

Huijuan Guo ◽

Ruipu Yao

Keyword(s):

Decision Making ◽

Fuzzy Numbers ◽

Multiple Attribute Decision Making ◽

Aggregation Operator ◽

Aggregation Operators ◽

Weighted Arithmetic ◽

Geometric Average ◽

Novel Approach ◽

Multiple Attribute ◽

Interval Valued

The symmetry between fuzzy evaluations and crisp numbers provides an effective solution to multiple attribute decision making (MADM) problems under fuzzy environments. Considering the effect of information distribution on decision making, a novel approach to MADM problems under the interval-valued q-rung orthopair fuzzy (Iq-ROF) environments is put forward. Firstly, the clustering method of interval-valued q-rung orthopair fuzzy numbers (Iq-ROFNs) is defined. Secondly, Iq-ROF density weighted arithmetic (Iq-ROFDWA) intermediate operator and Iq-ROF density weighted geometric average (Iq-ROFDWGA) intermediate operator are developed based on the density weighted intermediate operators for crisp numbers. Thirdly, combining the density weighted intermediate operators with the Iq-ROF weighted aggregation operators, Iq-ROF density aggregation operators including Iq-ROF density weighted arithmetic (Iq-ROFDWAA) aggregation operator and Iq-ROF density weighted geometric (Iq-ROFDWGG) aggregation operator are proposed. Finally, effectiveness of the proposed method is verified through a numerical example.

Download Full-text

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

Knowledge-Based Systems ◽

10.1016/j.knosys.2013.03.004 ◽

2013 ◽

Vol 46 ◽

pp. 43-53 ◽

Cited By ~ 170

Author(s):

Guiwu Wei ◽

Xiaofei Zhao ◽

Rui Lin

Keyword(s):

Decision Making ◽

Multiple Attribute Decision Making ◽

Aggregation Operators ◽

Multiple Attribute ◽

Fuzzy Aggregation ◽

Interval Valued

Download Full-text

SOME CONTINUOUS AGGREGATION OPERATORS WITH INTERVAL-VALUED INTUITIONISTIC FUZZY INFORMATION AND THEIR APPLICATION TO DECISION MAKING

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems ◽

10.1142/s0218488512500092 ◽

2012 ◽

Vol 20 (02) ◽

pp. 185-209 ◽

Cited By ~ 11

Author(s):

JIAN LIN ◽

QIANG ZHANG

Keyword(s):

Decision Making ◽

Fuzzy Numbers ◽

Multiple Attribute Decision Making ◽

Aggregation Operators ◽

Fuzzy Information ◽

Numerical Examples ◽

Intuitionistic Fuzzy Numbers ◽

Intuitionistic Fuzzy ◽

Multiple Attribute ◽

Interval Valued

In this paper, some new operators for aggregating interval-valued intuitionistic fuzzy information are proposed to deal with multiple attribute decision making problems. Firstly, the C-IFOWA operator and C-IFOWG operator are developed to aggregate all the values in the interval-valued intuitionistic fuzzy numbers. Some of their desirable properties are also studied. Secondly, in order to aggregate a set of interval-valued intuitionistic fuzzy numbers, some new aggregation operators are proposed based on the C-IFOWA operator and C-IFOWG operator. Thirdly, two methods for multiple attribute decision making, in which the attribute values are given in the forms of interval-valued intuitionistic fuzzy numbers are presented. Finally, two numerical examples are provided to illustrate the practicality and validity of the proposed methods.

Download Full-text