Upside-Down Logic in Plithogenic Fuzzy Control System: Contradiction-Aware Rule Inversion and De-Plithogenication

Keywords: Upside-down-logic, Plithogenic Set, De-Plithogenication, Plithogenic Fuzzy Control System, Fuzzy Control System

Abstract

In the real world, many reversal phenomena occur—for instance, situations in which a statement once regarded as false is later recognized as true. Upside-Down Logic provides a framework that formalizes such reversals as a logical system: it flips the truth and falsity of propositions via contextual transformations, thereby capturing ambiguity and reversal within reasoning processes. A Plithogenic Set represents elements using attribute-based membership and contradiction functions, extending the traditional frameworks of fuzzy, intuitionistic, and neutrosophic sets. In this paper, we investigate Plithogenic Fuzzy Control, which both generalizes classical fuzzy control and furnishes a formal mechanism for analyzing and implementing inversion (upside-down) operations.

Author Biographies

Takaaki Fujita, Independent Researcher
   
Ahmed Heilat, Jadara University
Dear Editor, ​I hope this email finds you well. ​I am writing to respectfully request the publication of my article in your esteemed journal. I believe the article aligns well with the scope of your publication and will be a valuable addition to the field. ​I am also interested in the possibility of a 'fast track' publication for my article, if such an option is available. ​To assist with the review process, I would like to suggest the following potential reviewers. Their expertise is highly relevant to the subject matter of my article: ​Sagvan Y. Musa ​Iraq, Duhok, College of Education, Department of Mathematics ​Email: sagvan.musa@uoz.edu.krd ​2. Dr. Arkan A. Ghaib ​Department of Information Technology, Management Technical College, Southern Technical University, Basrah, 61004, Iraq. ​Email: arkan.ghaib@stu.edu.iq ​3. Florentin Smarandache, PhD, PostDocs ​Emeritus Professor, University of New Mexico ​Mathematics, Physics, and Natural Science Division, 705 Gurley Ave., Gallup, NM 87301, USA ​Email: smarandache@gmail.com ​Thank you for your time and consideration. I look forward to your positive response. Tariq Qawasmeh Department of Mathematics,College of Arts and Sciences,Amman Arab University, Amman,11953,Jordan Email: jorqaw@yahoo.com Mohammad Al-Hawari, Ajloun National University, P.O. Box 43, Ajloun 26810, JORDAN.E-mail: mh.hawari@anu.edu.jo  or analysis2003@yahoo.com ​Sincerely, Dr.Ahmed Heilat  
Published
2025-10-29
How to Cite
Fujita, T., Heilat, A., & Hatamleh, R. (2025). Upside-Down Logic in Plithogenic Fuzzy Control System: Contradiction-Aware Rule Inversion and De-Plithogenication. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3033
Section
Research Articles