Chandni manreet - Profile on Academia.edu (original) (raw)

Papers by Chandni manreet

Notes on IFS, Nov 30, 2023

The aim of this paper is to introduce two special type of morphisms, namely Retraction and Coretr... more The aim of this paper is to introduce two special type of morphisms, namely Retraction and Coretraction in the category (C R-IFM ) of intuitionistic fuzzy modules. We obtain the condition under which a morphism in C R-IFM , that is an intuitionistic fuzzy R-homomorphism, to be a retraction or a coretraction. Then, we acquire some equivalent statements for these two morphisms. Further, we study free, projective and injective objects in C R-IFM and establish their relation with morphism in C R-IFM and retraction, coretraction.

Some Special Objects in the Category of Intuitionistic Fuzzy Modules

Advances in Fuzzy Sets and Systems, Feb 29, 2024

In this paper, we study the properties of intuitionistic fuzzy modules from the categorical point... more In this paper, we study the properties of intuitionistic fuzzy modules from the categorical point of view by proving that the category CR-IFM 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 CR IFM is complete and co-complete.

A recursive formula for the number of intuitionistic fuzzy subgroups of a finite cyclic group

In this article, we have given an explicit recursive formula for the number of intuitionistic fuz... more In this article, we have given an explicit recursive formula for the number of intuitionistic fuzzy subgroups of a finite cyclic group G = Zp1 × Zp ×………..×Zpm, where p1, p2, ….., pm are distinct prime numbers. A method for constructing an intuitionistic fuzzy subgroup of a given group in terms of double pinned flags is also proposed.

Notes on IFS, Nov 30, 2023

The aim of this paper is to introduce two special type of morphisms, namely Retraction and Coretr... more The aim of this paper is to introduce two special type of morphisms, namely Retraction and Coretraction in the category (C R-IFM ) of intuitionistic fuzzy modules. We obtain the condition under which a morphism in C R-IFM , that is an intuitionistic fuzzy R-homomorphism, to be a retraction or a coretraction. Then, we acquire some equivalent statements for these two morphisms. Further, we study free, projective and injective objects in C R-IFM and establish their relation with morphism in C R-IFM and retraction, coretraction.

Some Special Objects in the Category of Intuitionistic Fuzzy Modules

Advances in Fuzzy Sets and Systems, Feb 29, 2024

In this paper, we study the properties of intuitionistic fuzzy modules from the categorical point... more In this paper, we study the properties of intuitionistic fuzzy modules from the categorical point of view by proving that the category CR-IFM 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 CR IFM is complete and co-complete.

A recursive formula for the number of intuitionistic fuzzy subgroups of a finite cyclic group

In this article, we have given an explicit recursive formula for the number of intuitionistic fuz... more In this article, we have given an explicit recursive formula for the number of intuitionistic fuzzy subgroups of a finite cyclic group G = Zp1 × Zp ×………..×Zpm, where p1, p2, ….., pm are distinct prime numbers. A method for constructing an intuitionistic fuzzy subgroup of a given group in terms of double pinned flags is also proposed.