A Neutrosophic Topological and Algebraic Model for Evaluating Venture Capital Performance in Small and Medium-Sized Technology Enterprises
Keywords:
Neutrosophic Logic, Venture Capital, SMEs, Uncertainty, Topology, Bi-LA Semigroup, Investment Modeling.Abstract
This paper presents a new mathematical model for analyzing venture capital
(VC) decisions in small and medium-sized technology enterprises (SMEs). The model is
based on two novel neutrosophic structures. First, we introduce the Neutrosophic Risk
Topological Space (NRTS), which represents the uncertainty, trust, and risk in VC
decision-making using a special type of topological structure. This space captures the
changing nature of technology startups by allowing each possible decision state to be
measured in terms of truth, indeterminacy, and falsity. Second, we develop the
Neutrosophic Bi-LA Venture Capital Algebra (NBVC), an algebraic system that models
interactions between investors and startup projects. The NBVC framework uses two
binary operations to express both agreement and conflict in VC negotiations. Together,
these two frameworks allow a complete and detailed evaluation of investment scenarios
under real-world uncertainty. The paper includes mathematical definitions, logical
proofs, and full calculation examples. Our results show that neutrosophic tools can
provide deeper insights into VC dynamics and offer more accurate models than
traditional fuzzy or classical systems.
Downloads

Downloads
Published
Issue
Section
License
Copyright (c) 2025 Neutrosophic Sets and Systems

This work is licensed under a Creative Commons Attribution 4.0 International License.