Fuzzy subhyperspaces generated by admissible mappings

Abstract

Fuzzy hypervector spaces provide a structural framework for modeling graded uncertainty in algebraic systems with multivalued operations. In this paper, we introduce and investigate admissible mappings as a constructive mechanism for generating fuzzy subhyperspaces. These mappings represent fuzzy substructures through families of fuzzy points and allow a systematic characterization of generators. We prove that maximal admissible mappings generate fuzzy subhyperspaces in a manner analogous to bases in classical linear theory, and we present examples over real and finite hypervector spaces to clarify the role of maximality. The proposed approach contributes to the structural foundations of fuzzy modeling in hyperalgebraic settings and may support further developments in soft computing environments involving graded and non-deterministic structures.

Fusion rules and rigidity for weight modules over the simple admissible affine sl(2) and N=2 superconformal vertex operator superalgebras
Hiromu Nakano, Florencia Orosz Hunziker, Ana Ros Camacho +1
Advances in Mathematics10 Jul 2026Peer-reviewedLicence not statedFull text15 citedGeometry & topologyOpenAlex
Classical freeness of affine vertex algebras of sl₂ at boundary admissible levels
Tomoyuki Arakawa, Xuanzhong Dai
arXiv27 Sep 2026PreprintarXiv licenceFull textAlgebra & number theory Mathematical physicsarXiv
Affine sl₂ at admissible levels and quantum sl_2|1
Thomas Creutzig, Simon D. Lentner
arXiv11 Sep 2026PreprintarXiv licenceFull textAlgebra & number theory High-energy & particle physicsarXiv
Non-admissible smooth irreducible representations of GL₂(F) for totally ramified extensions F/ℚ_p
Dayu Huang
arXiv4 Nov 2026PreprintarXiv licenceFull textAlgebra & number theoryarXiv
Critical molecular theory and the maximal admissible class for Goldberg-type splittings of h^p(ℝⁿ), 0<p≤ 1
Mohamed El Aoumari
arXiv29 Sep 2026PreprintarXiv licenceFull textAnalysis & PDEsarXiv

Cite

BibTeX RIS

BibTeX

@misc{dehghan2026fuzzy,
  title = {{Fuzzy subhyperspaces generated by admissible mappings}},
  author = {O. R. Dehghan and R. Ameri},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17767},
  eprint = {2609.17767},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17767},
  note = {CC BY-NC-ND 4.0},
}

RIS

TY  - UNPB
TI  - Fuzzy subhyperspaces generated by admissible mappings
AU  - O. R. Dehghan
AU  - R. Ameri
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.17767
UR  - https://arxiv.org/abs/2609.17767
AB  - Fuzzy hypervector spaces provide a structural framework for modeling graded uncertainty in algebraic systems with multivalued operations. In this paper, we introduce and investigate admissible mappings as a constructive mechanism for generating fuzzy subhyperspaces. These mappings represent fuzzy substructures through families of fuzzy points and allow a systematic characterization of generators. We prove that maximal admissible mappings generate fuzzy subhyperspaces in a manner analogous to bases in classical linear theory, and we present examples over real and finite hypervector spaces to clarify the role of maximality. The proposed approach contributes to the structural foundations of fuzzy modeling in hyperalgebraic settings and may support further developments in soft computing environments involving graded and non-deterministic structures.
ER  -

Abstract

Related

Cite