Multi-Fuzzy Extensions of Functions
نویسندگان
چکیده
We proposed the theory of multi-fuzzy sets [Sabu and Ramakrishnan (2010a), (2011a)] as an extension of theories of fuzzy sets, L-fuzzy sets [Goguen (1967)] and intuitionistic fuzzy sets [Atanassov (1986)]. Theory of multi-fuzzy sets deals with multi-level fuzziness and multi-dimensional fuzziness. Our previous papers discussed the basic notions of multi-fuzzy sets, multi-fuzzy topology, and multi-fuzzy subgroups [Sabu and Ramakrishnan (2010a), (2010c), (2011b) (2011a)]. Bridge functions and multi-fuzzy extensions of crisp functions have great importance in the study of multi-fuzzy sets. In this paper, multi-fuzzy extensions of crisp functions based on the bridge functions such as order homomorphisms, complete lattice homomorphisms, L-fuzzy lattices, and strong L-fuzzy lattices are studied.
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ورودعنوان ژورنال:
- Advances in Adaptive Data Analysis
دوره 3 شماره
صفحات -
تاریخ انتشار 2011