## Mathematics and Statistics Faculty and Staff Publications

#### Document Type

Book

#### Publication Date

2012

#### Abstract

This book extends the natural operations defined on intervals, finite complex numbers and matrices. The intervals [a, b] are such that a ≤ b. But the natural class of intervals [a, b] introduced by the authors are such that a ≥ b or a need not be comparable with b. This way of defining natural class of intervals enables the authors to extend all the natural operations defined on reals to these natural class of intervals without any difficulty. Thus with these natural class of intervals working with interval matrices like stiffness matrices finding eigenvalues takes the same time as that usual matrices. Secondly the authors introduce the new notion of finite complex modulo numbers just defined as for usual reals

#### Publisher

Zip Publishing, Ohio

#### ISSN

978-1-59973-179-7

#### Language (ISO)

English

#### Keywords

natural class of intervals, finite complex modulo numbers, neutrosophic logic

#### Recommended Citation

W.B. Vasantha Kandasamy & F. Smarandache. Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers. Ohio: Zip Publishing, 2012

#### Creative Commons License

This work is licensed under a Creative Commons Attribution-Share Alike 4.0 License.

#### Included in

Algebra Commons, Algebraic Geometry Commons, Analysis Commons, Number Theory Commons, Other Mathematics Commons