Measures of linear and nonlinear interval-valued hexagonal fuzzy number

被引：6

作者：

Khan N.A. ^{[1
]}

Razzaq O.A. ^{[2
]}

Chakraborty A. ^{[3
]}

Mondal S.P. ^{[4
]}

Alam S. ^{[5
]}

机构：

[1] Bahria University, Karachi

[2] Department of Basic Sicence, Narula Institute of Technology, Kolkata

[3] Department of Applied Science, Maulana Abul Kalam Azad University of Technology, West Bengal

[4] Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur

来源：

International Journal of Fuzzy System Applications | 2020年 / 9卷 / 04期

关键词：

Fuzzy Numbers; GH-Differentiability; Interval-Valued Hexagonal Fuzzy Numbers;

D O I：

10.4018/IJFSA.2020100102

中图分类号：

学科分类号：

摘要：

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. © 2020, IGI Global. Copying or distributing in print or electronic forms without written permission of IGI Global is prohibited.

引用

页码：21 / 60

页数：39

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