FUZZY OPTIMIZATION AND gH- SYMMETRICALLY DERIVATIVE OF FUZZY FUNCTIONS
By
Edithstine Rani Mathew1 and Lovelymol Sebastian2
1Department of mathematics, K. E. College, Mannanam-686561,Kerala, India
2Department of Mathematics, M.E.S College,Nedumkandam-685553, Kerala, India
Email: edithstine@gmail.com,lovelymath95@gmail.com
(Received: October 07, 2020; In format: October 13, 2021; Revised: November 27, 2022; Accepted: November 29, 2022)
DOI: https://doi.org/10.58250/jnanabha.2022.52232
Abstract
In this paper, we introduce a new concept called Algebra of generalized Hukuhara symmetrically (gHs) differentiable fuzzy function. We specifically state the prerequisites for the gHs differentiability of the product and composition of a differentiable real function and a gHs differentiable fuzzy function, as well as the gHs differentiability of the sum of two gHs differentiable fuzzy functions.
2020 Mathematical Sciences Classification: 90C70
Keywords and Phrases: Fuzzy optimization,gH derivative