Refine your search
Collections
Co-Authors
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Pirzada, U. M.
- Necessary and Sufficient Optimality Conditions for Nonlinear Unconstrained Fuzzy Optimization Problem
Abstract Views :169 |
PDF Views:0
Authors
Affiliations
1 Department of Applied Maths., Faculty of Tech. & Engg., M. S. University of Baroda, Vadodara-390001, IN
1 Department of Applied Maths., Faculty of Tech. & Engg., M. S. University of Baroda, Vadodara-390001, IN
Source
The Journal of the Indian Mathematical Society, Vol 80, No 1-2 (2013), Pagination: 141-155Abstract
Nonlinear unconstrained fuzzy optimization problem is considered in this paper. Using the concept of convexity and Hukuhara differentiability of fuzzy-valued functions, the necessary and sufficient optimality conditions are derived.Keywords
Fuzzy Numbers, Hukuhara Differentiability and Non-Dominated Solution.- Existence of Hukuhara Differentiability of Fuzzy-Valued Functions
Abstract Views :327 |
PDF Views:2
Authors
Affiliations
1 School of Science and Engineering, Navrachana University of Vadodara-391410, IN
2 Department of Applied Mathematics, M. S. University of Baroda, Vadodara-390001, IN
1 School of Science and Engineering, Navrachana University of Vadodara-391410, IN
2 Department of Applied Mathematics, M. S. University of Baroda, Vadodara-390001, IN
Source
The Journal of the Indian Mathematical Society, Vol 84, No 3-4 (2017), Pagination: 239-254Abstract
In this paper, we discuss existence of Hukuhara differentiability of fuzzy-valued functions. Several examples are worked out to check that fuzzy-valued functions are one time, two times and n-times H-differentiable. We study the effects of fuzzy modelling on existence of Hukuhara differentiability of fuzzy-valued functions. We discuss existence of gH-differentiability and its comparison with H-differentiability.Keywords
Fuzzy-valued Functions, Hukuhara Differentiability, Fuzzy Modelling.References
- Bede B. and Gal S. G., Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations, Fuzzy Sets and Systems, 151 (2005) 581-599.
- Bede B. and Stefanini L., Generalized differentiability of fuzzy-valued functions, Fuzzy Sets and Systems, 230 (2013) 119-141.
- Diamond P., Kloeden P., Metric spaces of fuzzy sets: Theory and Applications, World Scientific (1994).
- George A. A., Fuzzy Ostrowski Type Inequalities, Computational and Applied mathematics. 22 (2003) 279-292.
- George, A. A., Fuzzy Taylor Formulae, CUBO, A Mathematical Journal, 7 (2005) 1-13.
- Hukuhara M., Integration des applications mesurables dont la valeur est un compact convexe, Funkc. Ekvac., 10 (1967) 205-223.
- Hsien-Chung Wu, Duality Theory in Fuzzy Optimization Problems, Fuzzy Optimization and Decision Making, 3 (2004) 345-365.
- Hsien-Chung Wu, An (α, β)-Optimal Solution Concept in Fuzzy Optimization Problems, Optimization, 53 (2004) 203-221.
- Kaleva O., Fuzzy Differential Equations, Fuzzy Sets and Systems, 24 (1987) 301-317.
- Pathak V.D and Pirzada U.M., Ncessary and Sufficient Optimality Conditions for Nonlinear Unconstrained Fuzzy Optimization Problem, Journal of the Indian Math. Soc., 80 (2013) 141-155.
- Pirzada U. M. and Pathak V. D., Newton Method for Solving Multi-variable Fuzzy Optimization Problem, Journal of Optimization Theory and Applications; Springer, 156 (2013) 867-881.
- Puri M. L. and Ralescu D. A., Differentials of fuzzy functions, J. of Math. Analysis and App., 91 (1983) 552-558.
- Saito, S. and Ishii H., L-Fuzzy Optimization Problems by Parametric Representation, IEEE, (2001) 1173-1177.
- Song S., Wu C., Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations, Fuzzy Sets and Systems, 110 (2000) 55-67.
- Stefanini L., A generalization of Hukuhara difference and division for interval and fuzzy arithmetic, Fuzzy Sets Syst. 161 (2010) 1564-1584.
- Stefanini L. and Bede B., Generalized Hukuhara differentiability of interval-valued functions and interval differential equations, Nonlinear Anal. 71 (2009) 1311-1328.