Extension principle in fuzzy optimization
Fuzzy Sets and Systems
Fuzzy relations an fuzzy functions
Fuzzy Sets and Systems
A characterization of the extension principle
Fuzzy Sets and Systems - Special issue: Dedicated to the memory of Richard E. Bellman
Coincidence degree and coincidence theorems for fuzzy mappings
Fuzzy Sets and Systems
Fuzzy Cartesian product, fuzzy relations and fuzzy functions
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: the foundations of application—from a mathematical point of view
Fuzzy sets and fuzzy logic: the foundations of application—from a mathematical point of view
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Fuzzy Sets and Systems
A fuzzy inclusion based approach to upper inverse images under fuzzy multivalued mappings
Fuzzy Sets and Systems
Fuzzy functions and their fundamental properties
Fuzzy Sets and Systems
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
A natural interpretation of fuzzy sets and fuzzy relations
Fuzzy Sets and Systems
Fuzzy sets and sheaves. Part I
Fuzzy Sets and Systems
| Hi-index | 0.20 |
In this paper we present a new and natural interpretation of fuzzy mappings, which is a direct extension of the natural interpretation of fuzzy sets and fuzzy relations shown in our previous paper; A natural interpretation of fuzzy sets and fuzzy relations (Fuzzy Sets and Systems 128 (2002) 135). We interpret fuzzy mappings as mappings in a Heyting valued model for intuitionistic set theory, and present a characterization of fuzzy mappings with membership functions, which seems to be different from all kinds of known definitions. This interpretation is quite natural, for it deduces naturally various properties of fuzzy mappings, and it makes clear the meaning of the famous extension principle by Zadeh, which is said to be very important in fuzzy theory.