Generalized Correlation Coefficients of Intuitionistic Fuzzy Sets with Application to MAGDM and Clustering Analysis

Correlation coefficient is an essential measuring operator in an intuitionistic fuzzy environment use in solving MCDM problems. In this paper, Xu et al.'s correlation coefficient for IFSs is generalized for an improved output. The objectives of this work are to generalize the triparametric correlation coefficient for IFSs proposed by Xu et al. and unravel its applicability in some MCDM problems. The generalized correlation coefficient for IFSs is characterized with some number of results. Some numerical illustrations are supplied to validate the preeminence of the generalized correlation coefficient for IFSs over some existing correlation coefficient measures. In addition, some MCDM problems such as determination of suitable lecturer for course allocation and personnel promotion exercise captured in intuitionistic fuzzy pairs are discussed with the aid of the proposed correlation coefficient.

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Algorithm for solving the decision-making problems based on correlation coefficients under cubic intuitionistic fuzzy information: a case study in watershed hydrological system

Complex & Intelligent Systems ◽

10.1007/s40747-021-00339-4 ◽

2021 ◽

Author(s):

Harish Garg ◽

Gagandeep Kaur

Keyword(s):

Decision Making ◽

Fuzzy Sets ◽

Correlation Coefficients ◽

Mathematical Concept ◽

Intuitionistic Fuzzy Sets ◽

Fundamental Properties ◽

Intuitionistic Fuzzy ◽

Hydrological System ◽

Interval Valued

AbstractCubic intuitionistic fuzzy sets (CIFSs) are a powerful and relevant medium for expressing imprecise information to solve the decision-making problems. The conspicuous feature of their mathematical concept is that it considers simultaneously the hallmarks of both the intuitionistic fuzzy sets (IFSs) and interval-valued IFSs. The present paper is divided into two parts: (i) defining the correlation measures for the CIFSs; (ii) introducing the decision-making algorithm for the CIFS information. Furthermore, few of the fundamental properties of these measures are examined in detail. Based on this, we define a novel algorithm to solve the multi-criteria decision-making process and illustrate numerical examples related to watershed’s hydrological geographical areas, global recruitment problem and so on. A contrastive analysis with several existing studies is also administered to test the effectiveness and verify the proposed method.

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PARTIAL CORRELATION COEFFICIENTS OF INTUITIONISTIC FUZZY SETS

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems ◽

10.1142/s0218488502001351 ◽

2002 ◽

Vol 10 (01) ◽

pp. 105-112 ◽

Cited By ~ 7

Author(s):

WEN-LIANG HUNG

Keyword(s):

Fuzzy Sets ◽

Fuzzy Set ◽

Partial Correlation ◽

Intuitionistic Fuzzy Set ◽

Correlation Coefficients ◽

Intuitionistic Fuzzy Sets ◽

Correlation Model ◽

Intuitionistic Fuzzy ◽

Multivariate Correlation ◽

Degree Of Membership

In many applications, partial correlation for three or more intuitionistic fuzzy sets are very important, but Hung [12] do not discuss this problem. In this paper, we propose a method to calculate the partial correlation of intuitionistic fuzzy sets by means of multivariate correlation model. In order to fit into normal framework, we use empirical logit transform (see Agresti [1] and Johnson and Wichern [13]) for the degree of membership of intuitionistic fuzzy set to achive this.

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The Spearman and Kendall rank correlation coefficients between intuitionistic fuzzy sets

Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) ◽

10.2991/eusflat.2011.85 ◽

2011 ◽

Cited By ~ 6

Author(s):

Eulalia Szmidt ◽

Janusz Kacprzyk

Keyword(s):

Fuzzy Sets ◽

Rank Correlation ◽

Correlation Coefficients ◽

Intuitionistic Fuzzy Sets ◽

Intuitionistic Fuzzy ◽

Kendall Rank Correlation

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On Generalized Correlation Coefficients of Picture Fuzzy Sets With Their Applications

International Journal of Fuzzy System Applications ◽

10.4018/ijfsa.2021040104 ◽

2021 ◽

Vol 10 (2) ◽

pp. 59-81

Author(s):

Surender Singh ◽

Abdul Haseeb Ganie ◽

Sumita Lalotra

Keyword(s):

Decision Making ◽

Pattern Recognition ◽

Fuzzy Sets ◽

Crucial Role ◽

Correlation Coefficients ◽

Intuitionistic Fuzzy Sets ◽

Numerical Examples ◽

Multi Attribute Decision Making ◽

Picture Fuzzy Sets ◽

Generalized Correlation

Picture fuzzy sets (PFSs) play a crucial role in uncertain/vague environments than intuitionistic fuzzy sets (IFSs) which do not take into consideration the degree of neutrality of an element. In this paper, the authors have proposed generalized correlation coefficients of PFSs along with some properties. The effectiveness and application of the proposed generalized correlation coefficients of PFSs in pattern recognition and multi-attribute decision making (MADM) is also discussed with the help of numerical examples.

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