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	Volume 1, Issue 3 Pg 187 - 271 (October 2006)
	Volume 1, Issue 2 Pg 83 - 185 (June 2006)
	Volume 1, Issue 1 Pg 1 - 81 (February 2006)

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Advances in Fuzzy Sets and Systems

are investigated, where

is a complete category of W-fuzzy sets over a complete MV-algebra W, where an W-fuzzy set is a pair

such that A is a set and

is a similarity relation. These functors then represent some generalizations of extension principle and enable to extend any morphism

into a map

These sets

are, e.g., a set of all extensional subsets

a set of all subobjects

where

and a set of all morphisms

where

is an analogy of a subobject classifier in

Advances in Fuzzy Sets and Systems
Volume 1, Issue 2, Pages 83 - 109 (June 2006)

COVARIANT FUNCTORS IN CATEGORIES OF FUZZY SETS OVER MV-ALGEBRAS
Jiří Močkoř (Czech Republic)

Abstract:
Covariant functors

are investigated, where

is a complete category of W-fuzzy sets over a complete MV-algebra W, where an W-fuzzy set is a pair

such that A is a set and

is a similarity relation. These functors then represent some generalizations of extension principle and enable to extend any morphism

into a map

These sets

are, e.g., a set of all extensional subsets

a set of all subobjects

where

and a set of all morphisms

where

is an analogy of a subobject classifier in

Keywords and phrases: covariant functors, MV-algebras.

Communicated by Eun Hwan Roh

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