Advances in Fuzzy Sets and Systems

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SOME SPECIAL OBJECTS IN THE CATEGORY OF INTUITIONISTIC FUZZY MODULES

Authors

  • P. K. Sharma
  • Chandni

Keywords:

intuitionistic fuzzy equalizers, intuitionistic fuzzy coequalizers, intuitionistic fuzzy coretraction, intuitionistic fuzzy retraction, intuitionistic fuzzy epimorphisms, intuitionistic fuzzy monomorphisms

DOI:

https://doi.org/10.17654/0973421X24001

Abstract

In this paper, we study the properties of intuitionistic fuzzy modules from the categorical point of view by proving that the category  of intuitionistic fuzzy modules has products, coproducts, equalizers and coequalizers. Then, we show that every intuitionistic fuzzy coretraction (retraction) is an intuitionistic fuzzy equalizer (coequalizer). Further, categorical goodness of intuitionistic fuzzy modules is illustrated by proving that the category of intuitionistic fuzzy modules  is complete and co-complete.

Received: December 21, 2023
Accepted: February 19, 2024

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Published

2024-02-29

Issue

Vol. 29 No. 1 (2024)

Section

Articles

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How to Cite

SOME SPECIAL OBJECTS IN THE CATEGORY OF INTUITIONISTIC FUZZY MODULES . (2024). Advances in Fuzzy Sets and Systems, 29(1), 1-23. https://doi.org/10.17654/0973421X24001

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