Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making

By Guiwu Wei. Applied Soft Computing, 2010

649 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/5a7d5dc448b5314c375860c8ca0fe91cca15a0f3

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. Xindong Peng
2. Peide Liu
3. Yong Yang
4. Yumei Wang
5. Yu Wei
6. Hui Gao
7. Liangping Wu
8. Guiwu Wei

In Management Science and Operations Research

1. Xindong Peng
2. Peide Liu
3. Yong Yang
4. Yumei Wang
5. Yu Wei
6. Hui Gao
7. Liangping Wu
8. Guiwu Wei

In Statistics and Probability

1. Xindong Peng
2. Yumei Wang
3. Yong Yang
4. Peide Liu
5. Yu Wei
6. Hui Gao
7. Liangping Wu
8. Guiwu Wei

Citations in the corpus

• A New Generalized Pythagorean Fuzzy Information Aggregation Using Einstein Operations and Its Application to Decision Making (2016, neutral): “Given three PFNs α = P (μ, ν), α1 = 〈μ1, ν1〉, and α2 = 〈μ2, ν2〉, Yager and Yager and Abbasov12,14 defined the basic operations, which can be defined as follows: (1) ᾱ = 〈ν, μ〉; (2) α1 ∨ α2 = 〈max{μ1, μ2}, min{ν1, ν2}〉; (3) α1 ∧ α2 = 〈min{μ1, μ2}, max{ν1, ν2}〉; (4) α1 ⊕ α2 = 〈 √ μ(2)1 + μ(2)2 − μ(2)1”
• Some Interval-Valued Intuitionistic Fuzzy Dombi Hamy Mean Operators and Their Application for Evaluating the Elderly Tourism Service Quality in Tourism Destination (2018, background): “Wei [7] proposed two new aggregation operators: the induced intuitionistic fuzzy ordered weighted geometric (I-IFOWG) operator and the induced interval-valued intuitionistic fuzzy ordered weighted geometric (I-IIFOWG) operator.”
• Fundamental Properties of Interval‐Valued Pythagorean Fuzzy Aggregation Operators (2016, background): “Let p̃ = ([μ−, μ+], [ν−, ν+]), p̃1 = ([μ1 , μ1 ], [ν− 1 , ν+ 1 ]), p̃2 = ([μ2 , μ + 2 ], [ν − 2 , ν + 2 ]) be three IVPFNs, and λ > 0 , then their operations are defined as follows: (1) p̃1 ∪ p̃2 = ([max{μ1 , μ2 }, max{μ1 , μ2 }], [min{ν− 1 , ν− 2 }, min{ν+ 1 , ν+ 2 }]); (2) p̃1 ∩ p̃2 = ([min{μ1 , μ”
• Induced generalized intuitionistic fuzzy operators (2011, neutral): “, [26,28,14,15,43], etc.”
• Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean (2014, positive): “Further, on the basis of the FS, Atanassov [1] proposed the intuitionistic fuzzy set (IFS) by adding a non-membership; then, IFS has been rapidly extended and got a wide range of attention in multi-attribute decision making (MADM) and multi-attribute group decision making (MAGDM) [5, 16, 18].”
• Pythagorean Fuzzy Choquet Integral Based MABAC Method for Multiple Attribute Group Decision Making (2016, background): “, p(xn) ⊕ p(x)), iff λ ≥ 1; (6) (p(x1) ⊕ p(x), p(x2) ⊕ p(x), .”
• Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making (2011, background): “Wei (2010) proposed two new aggregation operators: induced intuitionistic fuzzy ordered weighted geometric (I-IFOWG) operator and induced interval-valued intuitionistic fuzzy ordered weighted geometric (I-IIFOWG) operator and developed two models to solve the MAGDM problems in which both the…”
• Some Results for Pythagorean Fuzzy Sets (2015, background): “Let p = (μ, ν), p1 = (μ1, ν1), and p2 = (μ2, ν2) be three PFNs, then (1) p1 ∪ p2 ∪ p3 = p1 ∪ p3 ∪ p2; (2) p1 ∩ p2 ∩ p3 = p1 ∩ p3 ∩ p2; (3) p1 ⊕ p2 ⊕ p3 = p1 ⊕ p3 ⊕ p2; (4) p1 ⊗ p2 ⊗ p3 = p1 ⊗ p3 ⊗ p2; (5) p1 p2 p3 = p1 p3 p2, if μ1 ≥ max{μ2, μ3}, ν1 ≤ min{ν2ν3, ν2 π1 π2 , ν3 π1 π3 }, μ(2)1−μ(2)2−μ(2”