Some geometric aggregation operators based on intuitionistic fuzzy sets

By Zeshui Xu, Ronald R. Yager. International Journal of General Systems, 2006

2,378 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Management, Monitoring, Policy and Law, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/af955cbdf752d427fd56a15f51f8e972ab409e3d

How researchers see this paper

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

In Control and Systems Engineering

1. Zeshui Xu
2. Harish Garg
3. Xindong Peng
4. Guiwu Wei
5. Peide Liu
6. Meimei Xia
7. Yong Yang
8. Ganeshsree Selvachandran

In Management, Monitoring, Policy and Law

1. Guiwu Wei
2. Peide Liu
3. Xindong Peng
4. Harish Garg
5. Peng Wang
6. Ganeshsree Selvachandran
7. Yong Yang
8. Zeshui Xu

In Management Science and Operations Research

1. Zeshui Xu
2. Peide Liu
3. Harish Garg
4. Xindong Peng
5. Guiwu Wei
6. Yong Yang
7. Peng Wang
8. Meimei Xia

Citations in the corpus

• Methods for strategic decision-making problems with immediate probabilities in intuitionistic fuzzy setting (2012, methodology): “, n), and ωj > 0, n j=1 ωj = 1, then IFWG is called the Intuitionistic Fuzzy Weighted Geometric (IFWG) operator [9].”
• Maximizing deviation method for multiple attribute decision making in intuitionistic fuzzy setting (2008, methodology): “In [6], Xu developed some geometric aggregation operators, such as the intuitionistic fuzzy weighted geometric (IFWG) operator, the intuitionistic fuzzy ordered weighted geometric (IFOWG) operator, and the intuitionistic fuzzy hybrid geometric (IFHG) operator and gave an application of the IFHG oper”
• Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators (2011, background): “The core of an A-IFS is intuitionistic fuzzy number (IFN) [21,14], which is composed of the membership degree and nonmembership degree.”
• Pythagorean Fuzzy Choquet Integral Based MABAC Method for Multiple Attribute Group Decision Making (2016, background): “, p(xn)) ⊗ p(x); (4) PFCIG(p(x1) ⊕p(x), p(x2) ⊕p(x), .”
• Intuitionistic Fuzzy Bonferroni Means (2011, methodology): “If we use the intuitionistic fuzzy geometric mean (see [12]) to aggregate the IFNs αi(i = 1, 2, 3, 4), then we get IFG(α1, α2, α3, αn)”
• Some Interval-Valued Intuitionistic Fuzzy Dombi Hamy Mean Operators and Their Application for Evaluating the Elderly Tourism Service Quality in Tourism Destination (2018, methodology): “Xu, Z.S.; Yager, R.R.”
• Induced generalized intuitionistic fuzzy operators (2011, methodology): “,xn}), where p(X) = 1, the BSI-GIFOA operator becomes the induced intuitionistic fuzzy ordered weighted geometric (I-IFOWG) operator [29], which is a generalization of the intuitionistic fuzzy ordered weighted geometric (IFWG) operator and IFOWG operator [34]: I IFOWGðMÞ 1⁄4 j1⁄41 b wj j”
• Generation of linear orders for intervals by means of aggregation functions (2013, background): “Focusing on interval-valued fuzzy sets, in most part of the literature, only one linear order, namely, that of Xu and Yager [13] is considered.”
• Multiple-Attribute Decision-Making Based on Archimedean Bonferroni Operators of q-Rung Orthopair Fuzzy Numbers (2019, background): “[42] R. R. Yager, “Pythagorean membership grades in multicriteria decision making,” IEEE Trans.”
• Linguistic Pythagorean fuzzy sets and its applications in multiattribute decision‐making process (2018, methodology): “, An) = ⎜⎜⎜⎝st √( 1− n ∏ i=1 (1−θ2 i ∕t2)ωi ), s t n ∏ i=1 (σi∕t)i ⎟⎟⎟⎠ (6)”