An Abstract Context to Lattice-Based Ideals (Filters) with Multi-Fuzzy Soft Settings

Author:

Vimala J.1ORCID,Begam S. Sabeena2ORCID,Saeed Muhammad3ORCID,Khan Khuram Ali4ORCID,Ur Rahman Atiqe3ORCID

Affiliation:

1. Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India

2. Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Tamilnadu, India

3. Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan

4. Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan

Abstract

In this study, multi-fuzzy soft ideals (filters) are introduced over the lattice-ordered multi-fuzzy soft set ([Formula: see text]) and their results are shown. The ideas of lattice-ordered multi-fuzzy soft homomorphism ([Formula: see text]) between two [Formula: see text]s are then introduced, along with those of lattice-ordered multi-fuzzy soft isotone map [Formula: see text], lattice-ordered multi-fuzzy soft isomorphism ([Formula: see text]), and kernel of [Formula: see text]. We also look at the principal ideal and soft prime ideal of [Formula: see text].

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Computer Science Applications,Human-Computer Interaction

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