عنوان

An introduction to analytical fuzzy plane geometry /

(Number (ISBN

3030157229

(Number (ISBN

9783030157227

Erroneous ISBN

3030157210

Erroneous ISBN

9783030157210

Title Proper

An introduction to analytical fuzzy plane geometry /

General Material Designation

[Book]

First Statement of Responsibility

Debdas Ghosh, Debjani Chakraborty.

Place of Publication, Distribution, etc.

Cham, Sswitzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

[2019]

Specific Material Designation and Extent of Item

1 online resource

Series Title

Studies in fuzziness and soft computing ;

Volume Designation

volume 381

Text of Note

Includes bibliographical references and index.

Text of Note

Introduction -- Basic ideas on fuzzy plane geometry I -- Fuzzy line -- Fuzzy triangle and fuzzy trigonometry -- Fuzzy Circle -- Fuzzy Parabola -- Fuzzy Pareto-optimality -- Concluding Remarks and Future Directions.

0

Text of Note

This book offers a rigorous mathematical analysis of fuzzy geometrical ideas. It demonstrates the use of fuzzy points for interpreting an imprecise location and for representing an imprecise line by a fuzzy line. Further, it shows that a fuzzy circle can be used to represent a circle when its description is not known precisely, and that fuzzy conic sections can be used to describe imprecise conic sections. Moreover, it discusses fundamental notions on fuzzy geometry, including the concepts of fuzzy line segment and fuzzy distance, as well as key fuzzy operations, and includes several diagrams and numerical illustrations to make the topic more understandable. The book fills an important gap in the literature, providing the first comprehensive reference guide on the fuzzy mathematics of imprecise image subsets and imprecise geometrical objects. Mainly intended for researchers active in fuzzy optimization, it also includes chapters relevant for those working on fuzzy image processing and pattern recognition. Furthermore, it is a valuable resource for beginners interested in basic operations on fuzzy numbers, and can be used in university courses on fuzzy geometry, dealing with imprecise locations, imprecise lines, imprecise circles, and imprecise conic sections.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030157227

Title

Introduction to analytical fuzzy plane geometry.

International Standard Book Number

9783030157210

Fuzzy mathematics.

Fuzzy mathematics.

COM004000

UYQ

UYQ

Number

Edition

Class number

Book number

Ghosh, Debdas

Chakraborty, Debjani

Date of Transaction

20200823084705.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y