Gateaux and Frechet Derivative in Intuitionistic Fuzzy Normed Linear spaces
B. Dinda, T.K. Samanta, U.K. Bera
TL;DR
This paper introduces and studies properties of various derivatives in intuitionistic fuzzy normed linear spaces, highlighting their relationships and extending classical derivative concepts into fuzzy contexts.
Contribution
It defines intuitionistic fuzzy derivatives and explores their properties, establishing connections between Gateaux and Fréchet derivatives in fuzzy normed spaces.
Findings
Defined intuitionistic fuzzy derivatives and studied their properties
Established relations between Gateaux and Fréchet derivatives in fuzzy spaces
Extended classical derivative concepts to intuitionistic fuzzy contexts
Abstract
Intuitionistic Fuzzy derivative, Intuitionistic Fuzzy Gateaux derivative, Intuitionistic Fuzzy Fr\'{e}chet derivative are defined and a few of their properties are studied. The relation between Intuitionistic Fuzzy Gateaux derivative and Intuitionistic Fuzzy Fr\'{e}chet derivative are emphasized.
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Taxonomy
TopicsFuzzy Systems and Optimization · Multi-Criteria Decision Making · Fuzzy and Soft Set Theory