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ICMRA Seminar Series
ICMRA Seminar Series
Neutrosophic Pythagorean Soft Set and their Properties
Neutrosophic Pythagorean Soft Set and their Properties
Organizers
Speaker
Time
Monday, September 14, 2026 3:00 PM - 4:00 PM
Venue
A3-1-301
Online
Zoom 293 812 9202
(BIMSA)
Abstract
In complex decision-making, artificial intelligence, and risk evaluation, real-world data is frequently contaminated with imprecision, inconsistency, and indeterminacy. Traditional set theories often fail to accommodate instances where the combined degrees of truth and falsity exceed classical operational thresholds.
This lecture introduces the framework of the Neutrosophic Pythagorean Soft Set (NPSS). Building upon the foundational work of Radha & Mary (2021) and Molodtsov (1999), this presentation explores how NPSS combines the parameterization power of soft sets with the expanded geometric domain of Pythagorean fuzzy sets and neutrosophic tripartitions. By treating Truth (T) and Falsity (F) as dependent neutrosophic components bound by the Pythagorean condition $(T^2 + F^2 \le 1$ or $T^2 + I^2 + F^2 \le 2)$, this model provides a flexible environment for managing highly conflicting, uncertain multi-variable data. The mathematical foundations, foundational operations (unions, intersections, AND/OR logic), subset conditions, and core algebraic laws—including De Morgan's theorems—are rigorously analyzed.
This lecture introduces the framework of the Neutrosophic Pythagorean Soft Set (NPSS). Building upon the foundational work of Radha & Mary (2021) and Molodtsov (1999), this presentation explores how NPSS combines the parameterization power of soft sets with the expanded geometric domain of Pythagorean fuzzy sets and neutrosophic tripartitions. By treating Truth (T) and Falsity (F) as dependent neutrosophic components bound by the Pythagorean condition $(T^2 + F^2 \le 1$ or $T^2 + I^2 + F^2 \le 2)$, this model provides a flexible environment for managing highly conflicting, uncertain multi-variable data. The mathematical foundations, foundational operations (unions, intersections, AND/OR logic), subset conditions, and core algebraic laws—including De Morgan's theorems—are rigorously analyzed.
Speaker Intro
Dr. Broumi Said completed his MSc and PhD in Computer Science from University of Hassan II of Casablanca, Morocco. Currently, he is serving as an Assistant Professor at Regional Center for the Professions of Education and Training, Casablanca-Settat, Morocco. He is permanent member at Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco .His research interests are in the field of graph theory, extended fuzzy graphs, decision analysis and neutrosophic theory. He has diversity in his research work. he has published several work on neutrosophic graph theory, soft set theory, multi-attribute decision analysis and some alternative theories of Neutrosophic Mathematics. He has published more than 200 research articles in international peer-reviewed ISI Indexed /Impact factor journals. Some of his papers have been published in high impact journals including, Complex & Intelligent Systems, Computational and Applied Mathematics, Symmetry, and Journal of Neutrosophic Set and Systems. His work has largely been cited and total citation is more than 5992 (Scholar Google, H-index 41). He has presented his research work at some national as well as international conferences. He has been acting as a reviewer for a number of International journals.