Fuzzy Inference Full Implication Method Based on Single Valued Neutrosophic t-representable t-norm: Purposes, Strategies, and a Proof-of-Principle Study
Journal Title: Neutrosophic Systems with Applications - Year 2024, Vol 14, Issue 1
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.
Authors and Affiliations
Minxia Luo, Ziyang Sun, Donghui Xu, Lixian Wu
Keywords
Related Articles
- EP ID EP729603
- DOI https://doi.org/10.61356/j.nswa.2024.104
- Views 44
- Downloads 1
Exploring the Application of Digital Twin Technology in the Energy Sector using MEREC and MAIRCA Methods
Smart city sustainability initiatives prioritize creating environmentally, economically, and socially sustainable urban environments. Digital Twin (DT) technology creates precise digital replicas of physical assets, syst...
NCMPy: A Modelling Software for Neutrosophic Cognitive Maps based on Python Package
Cognitive maps are a vital tool that can be used for knowledge representation and reasoning. Fuzzy Cognitive Maps (FCMs) are popular soft computing techniques used to model large and complex systems, and they can aid in...
Neutrosophic Bicubic B-spline Surface Interpolation Model for Uncertainty Data
Dealing with the uncertainty data problem using neutrosophic data is difficult since certain data are wasted due to noise. To address this issue, this work proposes a neutrosophic set (NS) strategy for interpolating the...
Application of Secant Span in Medical Diagnosis
Many common and specific characteristics engrave most diseases. Water-borne diseases differ slightly in their characteristics. Erroneous diagnoses can be attributed to shared characteristics. Current approaches tend to r...
New Types of Soft Sets” HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set”: An Improved Version
This is an improved paper of [10], where we recall the definitions together with practical applications of the Soft Set and its extensions to HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set.