ContraSoft Set and ContraRough Set with using Upside-down logic

Authors

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.

Downloads

Published

2025-11-10

Issue

Vol. 14 No. 6 (2025)

Section

Research Articles

License

Authors who publish with this journal agree to the following terms:

    1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
    2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
    3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).

How to Cite

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

Most read articles by the same author(s)