Images and preimages of subobjects under the morphisms in a new category of fuzzy sets-I

Aparna Jain () and Naseem Ajmal ()
Additional contact information
Aparna Jain: University of Delhi
Naseem Ajmal: University of Delhi

Fuzzy Information and Engineering, 2012, vol. 4, issue 3, 273-291

Abstract: Abstract This 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 behave under the action of these morphisms is analyzed. Finally, results have been proved on algebra of morphisms of this category S.

Keywords: Category; Fuzzy set; Subobject; Fuzzy subset; Monomorphism; Image; preimage (search for similar items in EconPapers)
Date: 2012
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s12543-012-0116-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:fuzinf:v:4:y:2012:i:3:d:10.1007_s12543-012-0116-y

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/12543

DOI: 10.1007/s12543-012-0116-y

Access Statistics for this article

More articles in Fuzzy Information and Engineering from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().