Neutrosophic SuperHyper–Plithogenic Modeling for Consensus  Optimization in Curriculum-Based Ideological–Political  Educational Effectiveness

Hui Wang; Ruijuan Yao; Shasha Guo; Wen Zhong; Taoke Feng; Xiaoyu An

Authors

Hui Wang Hebei University of Engineering, Handan, Hebei, 056038, China
Ruijuan Yao Hebei University of Engineering, Handan, Hebei, 056038, China
Shasha Guo Hebei University of Engineering, Handan,Hebei, 056038, China
Wen Zhong Meidi Primary School of Hanshan District, Handan, Hebeie, 056000, China
Taoke Feng Meidi Primary School of Hanshan District, Handan, Hebei, 056000, China
Xiaoyu An Liancheng Primary School of Congtai District, Handan, Hebei, 056000 , China

Keywords:

Neutrosophic SuperHyperFunction; Plithogenic Probability; Ideological–political education; Curriculum consensus; Asymmetry reduction; Entropy minimization.

Abstract

This paper proposes a new mathematical framework that fuses Neutrosophic
SuperHyperFunctions with Plithogenic Probability theory to analyze and optimize ideological
political education within college curricula. The model encodes truth, indeterminacy, and
falsehood memberships into superhyper topological structures, enabling simultaneous
representation of direct and indirect pedagogical influences. A plithogenic aggregation mechanism
reconciles contradictory instructional attributes and produces a fused neutrosophic state vector for
each curriculum unit. The framework introduces an Ideological Asymmetry Index and a
polarization diffusion operator, both formally defined and supported by iterative convergence
proofs. Application to a two-unit case study shows how repeated updates systematically reduce
entropy and asymmetry while maintaining pedagogical diversity. Results demonstrate the model’s
capacity to achieve measurable consensus, offering a robust, quantitative tool for curriculum
designers and policymakers seeking to strengthen ideological–political education outcomes in
higher learning environments.

DOI: 10.5281/zenodo.16884330