Analysis of Economic Relationship Using the Concept of Complex Pythagorean Fuzzy Information

Fuzzy set theory and fuzzy logics are the powerful mathematical tools tomodel the imprecision and vagueness. In this research, the novel concept of complex Pythagorean fuzzy relation (CPFR) is introduced. Furthermore, the types of CPFRs are explained with appropriate examples such as CPF composite relation, CPF equivalence relation, CPF order relation, and CPF equivalence classes. Moreover, numerous results and interesting properties of CPFRs are discussed in detail. Furthermore, the impacts of economic parameters over each other are studied through the proposed concepts of CPFRs. In addition, the application also discusses the effects of economic parameters of one country over the other countries’ economic parameters.

[1]  Etienne E. Kerre,et al.  On the composition of intuitionistic fuzzy relations , 2003, Fuzzy Sets Syst..

[2]  Yong Yang,et al.  Some Results for Pythagorean Fuzzy Sets , 2015, Int. J. Intell. Syst..

[3]  Omolbanin Yazdanbakhsh,et al.  On Pythagorean and Complex Fuzzy Set Operations , 2016, IEEE Transactions on Fuzzy Systems.

[4]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[5]  Ranjit Biswas,et al.  Some operations on intuitionistic fuzzy sets , 2000, Fuzzy Sets Syst..

[6]  Seifedine Kadry,et al.  Complex Intuitionistic Fuzzy Graphs with Application in Cellular Network Provider Companies , 2019, Mathematics.

[7]  Abraham Kandel,et al.  Axiomatic Theory of Complex Fuzzy Logic and Complex Fuzzy Classes , 2011, Int. J. Comput. Commun. Control.

[8]  Humberto Bustince Sola,et al.  Intuitionistic fuzzy relations (Part I) , 1995 .

[9]  Abdul Razak Salleh,et al.  Complex intuitionistic fuzzy sets , 2012 .

[10]  Bo Hu,et al.  Complex fuzzy arithmetic aggregation operators , 2019, J. Intell. Fuzzy Syst..

[11]  Ronald R. Yager,et al.  Pythagorean fuzzy subsets , 2013, 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS).

[12]  Etienne E. Kerre,et al.  On the relationship between some extensions of fuzzy set theory , 2003, Fuzzy Sets Syst..

[13]  Omolbanin Yazdanbakhsh,et al.  A systematic review of complex fuzzy sets and logic , 2017, Fuzzy Sets Syst..

[14]  N. P. Mukherjee,et al.  Fuzzy relations and fuzzy groups , 1985, Inf. Sci..

[15]  Harish Garg,et al.  DISTANCE MEASURES BETWEEN THE COMPLEX INTUITIONISTIC FUZZY SETS AND THEIR APPLICATIONS TO THE DECISION-MAKING PROCESS , 2017 .

[16]  J. Blin Fuzzy Relations in Group Decision Theory , 1974 .

[17]  Abraham Kandel,et al.  On complex fuzzy sets , 2001, 10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297).

[18]  Yosef S. Sherif,et al.  Applications of fuzzy set theory , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[19]  José Carlos R. Alcantud,et al.  Group decision-making framework using complex Pythagorean fuzzy information , 2020, Neural Computing and Applications.

[20]  Abraham Kandel,et al.  Representing complex intuitionistic fuzzy set by quaternion numbers and applications to decision making , 2020, Appl. Soft Comput..

[21]  Muhammad Akram,et al.  A Novel Approach to Decision-Making with Pythagorean Fuzzy Information , 2018, Mathematics.

[22]  Abraham Kandel,et al.  Complex Fuzzy Sets and Complex Fuzzy Logic an Overview of Theory and Applications , 2015, Fifty Years of Fuzzy Logic and its Applications.

[23]  Humberto Bustince,et al.  Structures on intuitionistic fuzzy relations , 1996, Fuzzy Sets Syst..

[24]  J. Mendel Fuzzy logic systems for engineering: a tutorial , 1995, Proc. IEEE.

[25]  Raymond T Yeh,et al.  FUZZY RELATIONS, FUZZY GRAPHS, AND THEIR APPLICATIONS TO CLUSTERING ANALYSIS , 1975 .

[26]  Janusz Kacprzyk,et al.  Distances between intuitionistic fuzzy sets , 2000, Fuzzy Sets Syst..

[27]  Humberto Bustince,et al.  Construction of intuitionistic fuzzy relations with predetermined properties , 2000, Fuzzy Sets Syst..

[28]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[29]  Yong Yang,et al.  Pythagorean Fuzzy Information Measures and Their Applications , 2017, Int. J. Intell. Syst..

[30]  Tahir Mahmood,et al.  On some distance measures of complex Pythagorean fuzzy sets and their applications in pattern recognition , 2019, Complex & Intelligent Systems.

[31]  George J. Klir,et al.  On fuzzy-set interpretation of possibility theory , 1999, Fuzzy Sets Syst..

[32]  Ranjit Biswas,et al.  An application of intuitionistic fuzzy sets in medical diagnosis , 2001, Fuzzy Sets Syst..