Images and Preimages of Subobjects under the Morphisms in a New Category of Fuzzy Sets-I

, Volume 4 (3): 19 – Sep 1, 2012
19 pages

Images and Preimages of Subobjects under the Morphisms in a New Category of Fuzzy Sets-I

Abstract

AbstractThis paper is the third in a sequence of papers on categories by the same authors. In one of the papers, a new category of fuzzy sets was defined and a few results were established pertaining to that special category of fuzzy sets S. Here, the concept of a fuzzy subset of a fuzzy set is defined under the category S. Besides, the notions of images and preimages of fuzzy sets are also defined under morphisms in the category of fuzzy sets and how smoothly these images and preimages...

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Publisher
Taylor & Francis
© 2012 Taylor and Francis Group, LLC
ISSN
1616-8666
eISSN
1616-8658
DOI
10.1007/s12543-012-0116-y
Publisher site
See Article on Publisher Site

Journal

Fuzzy Information and EngineeringTaylor & Francis

Published: Sep 1, 2012

Keywords: Category; Fuzzy set; Subobject; Fuzzy subset; Monomorphism; Image; preimage

References

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