Intuitionistic Fuzzy Bonferroni Means

By Zeshui Xu, Ronald R. Yager. IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics), 2011

448 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/539e614efb16ba5685a0c0ed17be91da1e30a723

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Citations in the corpus

Some q‐Rung Orthopair Fuzzy Aggregation Operators and their Applications to Multiple‐Attribute Decision Making (2018, background): “For example, Yager and Abbasov 26 studied the relationship between the Pythagorean fuzzy numbers (PFNs) and the complex numbers.”
Pythagorean Fuzzy Choquet Integral Based MABAC Method for Multiple Attribute Group Decision Making (2016, unknown): “(1) p(xi) ⊕ p(xj ) = p(xj ) ⊕ p(xi); (2) p(xi) ⊗ p(xj ) = p(xj ) ⊗ p(xi); (3) λ(p(xi) ⊕ p(xj )) = λp(xi) ⊕ λp(xj ); (4) λ1p(xi) ⊕ λ2p(xi) = (λ1 + λ2)p(xi); (5) (p(xi) ⊗ p(xj )) = p(xi) ⊗ p(xj ); (6) p(xi)1 ⊗ p(xi)2 = p(xi)(λ1+λ2); (7) λ(p(xi) p(xj )) = λp(xi) λp(xj ), if μP (xi) ≥ μP (xj ), νP (xi) ”
Hesitant fuzzy entropy and cross‐entropy and their use in multiattribute decision‐making (2012, methodology): “Xu and Yager 54 developed some intuitionistic fuzzy Bonferroni means and applied them to multiattribute decision-making.”
A Novel Approach Based on Similarity Measure for Pythagorean Fuzzy Multiple Criteria Group Decision Making (2016, background): “5–9 However, in several complex MCDM problems the decision makers may express their preferences of an alternative with a criterion satisfying the condition that the sum of the degree to which the alternative satisﬁes the criterion and the degree to which the alternative dissatisﬁes the criterion is…”
Some Results for Pythagorean Fuzzy Sets (2015, unknown): “(1) By Deﬁnitions 7 and 8, we have that International Journal of Intelligent Systems DOI 10.1002/int For a given p i = ( μ i ,ν i )( i = 1 , 2 ,... ,n ), in the following, we denote f and prove that f ( μ i ) ≥ 0 , because μ 2 i (1 − μ 2 ) ≥ 0, so we only prove g ( μ i ) = μ 4 i − μ 2 μ 2 i − μ 2 +…”
A New Consensus Model for Group Decision Making Problems With Non-Homogeneous Experts (2014, background): “In some cases, experts may belong to distinct research areas and, therefore, they may express their preferences using different expression domains, such as numeric ones, linguistic ones, multigranular linguistic domains, unbalanced linguistic domains, expression domains based on interval numbers, he”
Intuitionistic Fuzzy Information Aggregation Using Einstein Operations (2012, methodology): “[71] R. R. Yager, “Generalized OWA aggregation operators,” Fuzzy Optim.”
Pythagorean fuzzy set: state of the art and future directions (2017, background): “For convenience, Xu and Yager (2006) called (μI (x), νI (x)) an intuitionistc fuzzy number (IFN) denoted by i = (μI , νI ).”
Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets (2014, background): “3–7 Recently, Yager 8,9 introduced Pythagorean fuzzy set (PFS) characterized by a membership degree and a nonmembership degree satisfying the condition that the square sum of its membership degree and nonmembership degree is equal to or less than 1, which is a generalization of IFS.”
Multiple-Attribute Decision-Making Based on Archimedean Bonferroni Operators of q-Rung Orthopair Fuzzy Numbers (2019, methodology): “In this case, when q = 1, the q-ROFABM operator can reduce into the intuitionistic fuzzy BM operator defined by Xu and Yager’s method [41]”
Fundamental Properties of Interval‐Valued Pythagorean Fuzzy Aggregation Operators (2016, background): “INTERVAL-VALUED PYTHAGOREAN FUZZY AGGREGATION OPERATORS 471 (7) J ∗ α,β (P̃ ) = {〈”