Measures of Linear and Nonlinear Interval-Valued Hexagonal Fuzzy Number

Najeeb Alam Khan, Oyoon Abdul Razzaq, Avishek Chakraborty, Sankar Parsad Mondal and Shariful Alam
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Najeeb Alam Khan: University of Karachi, Pakistan
Oyoon Abdul Razzaq: Bahria University, Karachi, Pakistan
Avishek Chakraborty: Department of Basic Sicence, Narula Institute of Technology, Kolkata, India
Sankar Parsad Mondal: Department of Applied Science, Maulana Abul Kalam Azad University of Technology, West Bengal, India
Shariful Alam: Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, India

International Journal of Fuzzy System Applications (IJFSA), 2020, vol. 9, issue 4, 21-60

Abstract: In the view of significant exposure of multifarious interval-valued fuzzy numbers in neoteric studies, different measures of interval-valued generalized hexagonal fuzzy numbers (IVGHFN) associated with assorted membership functions (MF) are explored in this article. Considering the symmetricity and asymmetricity of the hexagonal fuzzy structures, the idea of MF is generalized a bit more, to nonlinear membership functions. The construction of level sets, accordingly for each case of linear and nonlinear MF are also carried out. In addition, the concepts of generalized Hukuhara (gH) differentiability for the interval-valued generalized hexagonal fuzzy functions (IVGHFF) are also the main features of this framework. Illustratively, the developed intellects are implemented on a logistic population growth problem, by taking ecological functions as IVGHFFs. For the further numerical demonstrations of the model, artificial neural network with simulated annealing (ANNSA) algorithm is utilized.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:igg:jfsa00:v:9:y:2020:i:4:p:21-60

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