Fundamentals of soft category theory

Journal Title: Bulletin of Computational Applied Mathematics (Bull CompAMa) - Year 2018, Vol 6, Issue 1

Abstract

The soft category theory offers a way to study soft theories developed so far more generally. The main purpose of this paper is to introduce the basic algebraic operations in soft categories, and for that we introduce some algebraic operations, like intersection and union, in categories. Also, the notion of composition of soft functors is introduced to form category of all soft categories.

Authors and Affiliations

Sujit Kumar Sardar, Sugato Gupta, Bijan Davvaz

Keywords

Related Articles

Redox reactions as experimental examples of ternary weak algebraic hyperstructures

A ternary hyperoperation on a set H is a 3-ary hyperoperation, which associates a subset of H with any three elements of H. In this paper, we give examples of ternary hyperoperations associated with redox reactions. We...

Some Convergence Strategies for the Alternating Generalized Projection Method

In this paper we extend the application of the alternating projection algorithm to solve the problem of finding a point in the intersection of $n$ sets ($n\geq2$), which are not all of them convex sets. Here we term such...

Two extensions of the Dai-Liao method with sufficient descent property based on a penalization scheme

To achieve the good features of the linear conjugate gradient algorithm in a recent extension of the Dai-Liao method, two adaptive choices for parameter of the extended method are proposed based on a penalization approac...

A new flexible extension of the generalized half-normal lifetime model with characterizations and regression modeling

In this paper, we introduced a new flexible extension of the Generalized Half-Normal lifetime model as well as a new log-location regression model based on the proposed model. Some useful characterization results are pre...

On the Modified Methods for Irreducible Linear Systems with L-Matrices

Milaszewicz, [Milaszewic J.P, Linear Algebra. Appl. 93,1987, 161$-$170] presented new preconditioner for linear system in order to improve the convergence rates of Jacobi and Gauss-Seidel iterative methods. Li et al.,[Li...

Download PDF file
  • EP ID EP356824
  • DOI -
  • Views 103
  • Downloads 0

How To Cite

Sujit Kumar Sardar, Sugato Gupta, Bijan Davvaz (2018). Fundamentals of soft category theory. Bulletin of Computational Applied Mathematics (Bull CompAMa), 6(1), 59-82. https://europub.co.uk/articles/-A-356824