Algebraic Structures Using Super Interval Matrices
W. B. Vasantha Kandasamy, Florentin Smarandache
TL;DR
This work introduces algebraic structures based on super interval matrices with special intervals, exploring their properties and extending to fuzzy linear algebras, thereby broadening the mathematical framework of interval-based algebraic systems.
Contribution
It presents a novel approach to algebraic structures using super interval matrices and extends these concepts to fuzzy linear algebras, which is a new contribution in the field.
Findings
Defined algebraic structures like semigroups, groups, rings using super interval matrices.
Introduced super fuzzy linear algebras based on super fuzzy interval matrices.
Extended the theory of interval matrices to fuzzy algebraic systems.
Abstract
In this book super interval matrices using the special type of intervals of the form [0, a] are introduced. Several algebraic structures like semigroups, groups, semirings, rings, semivector spaces and vector spaces are introduced. Special fuzzy linear algebras are introduced using the concept of super fuzzy interval matrices.
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Taxonomy
TopicsFuzzy Logic and Control Systems