ContraSoft Set and ContraRough Set with using Upside-down logic

Takaaki  Fujita; Raed Hatamleh; Ahmed Salem  Heilat

doi:10.19139/soic-2310-5070-3022

ContraSoft Set and ContraRough Set with using Upside-down logic

Takaaki Fujita Independent Reseracher https://orcid.org/0009-0007-1509-2728
Raed Hatamleh Department of Mathematics, Faculty of Science, Jadara University, Irbid-Jordan https://orcid.org/0000-0002-5854-8541
Ahmed Salem Heilat Department of Mathematics, Faculty of Science, Jadara University, Irbid-Jordan

DOI: https://doi.org/10.19139/soic-2310-5070-3022

Keywords: Soft Set, Rough Set, Contradiction, Upside-down Logic

Abstract

A Soft Set is a parameterized family of subsets of a universe, where each parameter selects elements relevantunder that condition. A Rough Set is an approximation framework that employs lower and upper sets tocapture definite and possible memberships under an indiscernibility relation. Recent research has exploredextensions of Soft Sets and Rough Sets through concepts such as Hyper, SuperHyper, and Tree structures. Inthis paper, we investigate the ContraSoft Set and ContraRough Set, which enrich Soft Sets and Rough Sets byincorporating the notion of contradiction values. We further examine their mathematical structures, providesimple illustrative applications, and discuss how these constructions can be applied within the framework ofup-side-down logic.

Published

2025-11-10

How to Cite

Fujita, T., Hatamleh, R., & Heilat, A. S. (2025). ContraSoft Set and ContraRough Set with using Upside-down logic. Statistics, Optimization & Information Computing, 14(6), 3589-3632. https://doi.org/10.19139/soic-2310-5070-3022

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Issue

Vol 14 No 6 (2025)

Section

Research Articles

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