A Neutrosophic Topological and Algebraic Model for Evaluating Venture Capital Performance in Small and Medium-Sized Technology Enterprises
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 uncerta...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2025-07-01
|
| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/60Topological.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849338717526818816 |
|---|---|
| author | Miao Wang |
| author_facet | Miao Wang |
| author_sort | Miao Wang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d7177eebeade4aff8e1614e7cf0bf64c |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-07-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-d7177eebeade4aff8e1614e7cf0bf64c2025-08-20T03:44:18ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018893093910.5281/zenodo.15873466A Neutrosophic Topological and Algebraic Model for Evaluating Venture Capital Performance in Small and Medium-Sized Technology EnterprisesMiao WangThis 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. https://fs.unm.edu/NSS/60Topological.pdfneutrosophic logicventure capitalsmesuncertaintytopologybi-lasemigroupinvestment modeling |
| spellingShingle | Miao Wang A Neutrosophic Topological and Algebraic Model for Evaluating Venture Capital Performance in Small and Medium-Sized Technology Enterprises Neutrosophic Sets and Systems neutrosophic logic venture capital smes uncertainty topology bi-lasemigroup investment modeling |
| title | A Neutrosophic Topological and Algebraic Model for Evaluating Venture Capital Performance in Small and Medium-Sized Technology Enterprises |
| title_full | A Neutrosophic Topological and Algebraic Model for Evaluating Venture Capital Performance in Small and Medium-Sized Technology Enterprises |
| title_fullStr | A Neutrosophic Topological and Algebraic Model for Evaluating Venture Capital Performance in Small and Medium-Sized Technology Enterprises |
| title_full_unstemmed | A Neutrosophic Topological and Algebraic Model for Evaluating Venture Capital Performance in Small and Medium-Sized Technology Enterprises |
| title_short | A Neutrosophic Topological and Algebraic Model for Evaluating Venture Capital Performance in Small and Medium-Sized Technology Enterprises |
| title_sort | neutrosophic topological and algebraic model for evaluating venture capital performance in small and medium sized technology enterprises |
| topic | neutrosophic logic venture capital smes uncertainty topology bi-lasemigroup investment modeling |
| url | https://fs.unm.edu/NSS/60Topological.pdf |
| work_keys_str_mv | AT miaowang aneutrosophictopologicalandalgebraicmodelforevaluatingventurecapitalperformanceinsmallandmediumsizedtechnologyenterprises AT miaowang neutrosophictopologicalandalgebraicmodelforevaluatingventurecapitalperformanceinsmallandmediumsizedtechnologyenterprises |