A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multicriteria decision making problem

By Harish Garg. Journal of Intelligent & Fuzzy Systems, 2016

324 citations recorded by the source corpus.

The objective of the present work is divided into two folds. Firstly, an interval-valued Pythagorean fuzzy set (IVPFS) has been introduced along with their two aggregation operators, namely, interval-valued Pythagorean fuzzy weighted average and weighted geometric operators for different IVPFS. Secondly, an improved accuracy function under IVPFS environment has been developed by taking the account of the unknown hesitation degree. The proposed function has been applied to decision making problems to show the validity, practicality and effectiveness of the new approach. A systematic comparison between the existing work and the proposed work has also been given.

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

View Paper: https://www.semanticscholar.org/paper/853c3168049d0ba9de25f15fb152e76fd8963c59

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In Control and Systems Engineering

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Citations in the corpus

Linear Diophantine fuzzy set and its applications towards multi-attribute decision-making problems (2019, unknown): “Garg [20–22] presented generalized Pythagorean fuzzy information aggregation using Einstein operations, Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm, accuracy function under interval-valued Pythagorean fuzzy environment and their…”
Assessing occupational risks in pipeline construction using FMEA-based AHP-MOORA integrated approach under Pythagorean fuzzy environment (2019, unknown): “A Pythagorean fuzzy set P is an object having the form (Garg 2018a; 2018b; 2016a; 2016b; Zhang and Xu 2014): P ¼ <x; P lP xð Þ; vP xð Þð Þ>jx 2 X (1) where lPðxÞ : X 7!”
A Novel Correlation Coefficients between Pythagorean Fuzzy Sets and Its Applications to Decision‐Making Processes (2016, methodology): “Garg 21 presented a generalized aggregation operator using Einstein operations for aggregating different PFNs. Garg 22 proposed an improved accuracy function for interval-valued PFNs by overcoming the shortcoming of the existing functions.”
Einstein Geometric Aggregation Operators using a Novel Complex Interval-valued Pythagorean Fuzzy Setting with Application in Green Supplier Chain Management (2021, methodology): “Certain people have elaborated on different sorts of operators based on IVIFSs, IVPFSs, CIVIFSs and compare our results with some existing operators to determine the supremacy of their works.”
Pythagorean fuzzy power aggregation operators in multiple attribute decision making (2018, unknown): “i=1 Vσ(i), Vσ(i) = 1 + T ( ?̃?σ(i) ) (36)”
Pythagorean fuzzy set: state of the art and future directions (2017, background): “Definition 4.34 (Garg 2016a) Let pi = (μi , νi )(i = 1, 2, . . . , n) be a collection of PFNs, and w = (w1, w2, . . . , wn)T be the weight vector of pi , with wi ≥ 0,∑ni=1 wi = 1, λ > 0, then a generalized Pythagorean fuzzy Einstein weighted averaging (GPFEWA) operator is a mapping GPFEWA: Pn → P ,…”
Generalized Pythagorean Fuzzy Geometric Aggregation Operators Using Einstein t‐Norm and t‐Conorm for Multicriteria Decision‐Making Process (2017, background): “Later on, Garg 21 presented a novel accuracy function for interval-valued PFSs and apply it to solve the decision-making problem.”