Dynamic intuitionistic fuzzy multi-attribute decision making

By Zeshui Xu, Ronald R. Yager. International Journal of Approximate Reasoning, 2008

631 citations recorded by the source corpus.

The dynamic multi-attribute decision making problems with intuitionistic fuzzy information are investigated. The notions of intuitionistic fuzzy variable and uncertain intuitionistic fuzzy variable are defined, and two new aggregation operators: dynamic intuitionistic fuzzy weighted averaging (DIFWA) operator and uncertain dynamic intuitionistic fuzzy weighted averaging (UDIFWA) operator are presented. Some methods, including the basic unit-interval monotonic (BUM) function based method, normal distribution based method, exponential distribution based method and average age method, are introduced to determine the weight vectors associated with these operators. A procedure based on the DIFWA operator is developed to solve the dynamic intuitionistic fuzzy multi-attribute decision making (DIF-MADM) problems where all the decision information about attribute values takes the form of intuitionistic fuzzy numbers collected at different periods, and a procedure based on the UDIFWA operator is developed for DIF-MADM under interval uncertainty in which all the decision information about attribute values takes the form of interval-valued intuitionistic fuzzy numbers collected at different periods. Finally, a practical case is used to illustrate the developed procedures.

Subfields: Ecological Modeling, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/1100cf9d42b6a6c6756b79c3f7a024de8b792916

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Ecological Modeling

1. Guiwu Wei
2. Meimei Xia
3. Weize Wang
4. Xinwang Liu
5. Zeshui Xu
6. Yong Yang
7. Xindong Peng
8. Yu Wei

In Management Science and Operations Research

1. Zeshui Xu
2. Xindong Peng
3. Yong Yang
4. Meimei Xia
5. Xiaolu Zhang
6. Huchang Liao
7. Peide Liu
8. Guiwu Wei

In Statistics and Probability

1. Zeshui Xu
2. Meimei Xia
3. Xiaolu Zhang
4. Xindong Peng
5. Guiwu Wei
6. Yong Yang
7. José M. Merigó
8. Huchang Liao

Citations in the corpus

• Intuitionistic Fuzzy Analytic Hierarchy Process (2014, background): “applied to many different fields, such as decision making [23], [26]–[29], fuzzy logics [30], fuzzy cognitive maps [31], fuzzy hardware [32], topological space [33], medical diagnosis [34], and pattern recognition [35].”
• Intuitionistic Fuzzy Information Aggregation Using Einstein Operations (2012, methodology): “[71] R. R. Yager, “Generalized OWA aggregation operators,” Fuzzy Optim.”
• Pythagorean Fuzzy Choquet Integral Based MABAC Method for Multiple Attribute Group Decision Making (2016, background): “, p(xn)) ⊕ p(x); (8) PFCIG(p(x1), p(x2), .”
• Methods for strategic decision-making problems with immediate probabilities in intuitionistic fuzzy setting (2012, background): “Xu and Yager [28] investigated the dynamic intuitionistic fuzzy multiple attribute decision-making problems and developed some dynamic aggregation operators with intuitionistic fuzzy information or interval-valued intuitionistic fuzzy information.”
• A GRA-based intuitionistic fuzzy multi-criteria group decision making method for personnel selection (2011, background): “Distance between two IFNs Similar to the normalized Hamming distance between IFSs, we define a distance measure between two IFNs as follows: dða1;a2Þ ¼ 1 2 ðjla1 la2 j þ jma1 ma2 j þ jpa1 pa2 jÞ ð2Þ is called the distance between a1 and a2 (Xu & Yager, 2008).”
• Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets (2014, methodology): “(1) we have defined some new operational laws of PFNs and discussed their desirable properties; (2) we have defined the score function of PFNs and proposed a score function based comparison method for PFNs; (3) we have defined a distance measure for PFNs and discussed its properties; and (4) we have”
• Some Interval-Valued Intuitionistic Fuzzy Dombi Hamy Mean Operators and Their Application for Evaluating the Elderly Tourism Service Quality in Tourism Destination (2018, methodology): “We compare the IVIFWDHM and IVIFWDDHM operators with the IVIFWA operator [54], IVIFWG operator [5], gray relational analysis method [8], and the correlation coefficient [63].”
• Hesitant fuzzy information aggregation in decision making (2011, background): “Since its appearance, IFS has attracted more and more attention from researchers [9–11].”