TL;DR
This paper introduces fuzzy mnesor spaces as a semimodule over positive reals, providing a theoretical framework for fuzzy sets that allows properties to be proven without relying on membership functions.
Contribution
It establishes fuzzy mnesor spaces as a novel mathematical framework for fuzzy sets, enabling property proofs independent of membership functions.
Findings
Fuzzy mnesor spaces form a semimodule over positive real numbers.
Properties of fuzzy sets can be derived within this framework.
The approach simplifies theoretical analysis of fuzzy sets.
Abstract
A fuzzy mnesor space is a semimodule over the positive real numbers. It can be used as theoretical framework for fuzzy sets. Hence we can prove a great number of properties for fuzzy sets without refering to the membership functions.
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Taxonomy
TopicsFuzzy Logic and Control Systems