A New Class of Fuzzy Inner Products and Fuzzy Norms over Ordered Intervals
Bayaz Daraby, Asghar Rahimi, Hasan Haddadzadeh
TL;DR
This paper introduces a novel class of fuzzy inner products and fuzzy norms specifically designed for ordered intervals, expanding the mathematical framework for fuzzy analysis in ordered structures.
Contribution
It defines ordered intervals and develops fuzzy inner products and norms tailored for these structures, providing new tools for fuzzy mathematics.
Findings
Defined ordered intervals and fuzzy inner products
Established properties of the new fuzzy inner products
Extended fuzzy norms to ordered interval contexts
Abstract
In this article, we first define the concept of ordered intervals, then introduce ordered fuzzy inner product and describe some of its properties.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Multi-Criteria Decision Making · Fuzzy Systems and Optimization