ORCID
Minxia Luo: 0000-0001-9400-3533
Ziyang Sun: 0009-0004-0571-574X
Donghui Xu: 0009-0004-0229-4038
Lixian Wu: 0009-0008-8634-2357
Article Type
Original Study
Abstract
As a generalization of intuitionistic fuzzy sets, single-valued neutrosophic sets have certain advantages in solving indeterminate and inconsistent information. In this paper, we study the fuzzy inference full implication method based on single-valued neutrosophic t-representable t-norm. Firstly, single-valued neutrosophic fuzzy inference triple I principles for fuzzy modus ponens and fuzzy modus tollens are given. Then, single-valued neutrosophic R-type triple I solutions for FMP and FMT are given. Finally, the robustness of the full implication triple I method based on the left-continuous single-valued neutrosophic t-representable t-norm is investigated. As a special case of the main results, the sensitivity of full implication triple I solutions based on three special single-valued neutrosophic t-representable t-norms are given.
How to Cite
Luo, Minxia; Sun, Ziyang; Xu, Donghui; and Wu, Lixian
(2025)
"Fuzzy Inference Full Implication Method Based on Single Valued Neutrosophic t-representable t-norm: Purposes, Strategies, and a Proof-of-Principle Study,"
Neutrosophic Systems with Applications: Vol. 14:
Iss.
1, Article 8.
DOI: https://doi.org/10.61356/j.nswa.2024.104
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