東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Weighted and fuzzy graph theory

Mathew, Sunil.

Linked to FindBook

Google Book

Amazon

博客來

Weighted and fuzzy graph theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Weighted and fuzzy graph theory/ by Sunil Mathew, John N. Mordeson, M. Binu.
Author:	Mathew, Sunil.
other author:	Mordeson, John N.
Published:	Cham :Springer Nature Switzerland : : 2023.,
Description:	xvii, 216 p. :ill., digital ;24 cm.
[NT 15003449]:	Graphs and Weighted Graphs -- Connectivity -- More on Connectivity -- Cycle Connectivity -- Distance and Convexity -- Degree Sequences and Saturation -- Intervals and Gates -- Weighted Graphs and Fuzzy Graphs -- Fuzzy Results from Crisp Results.
Contained By:	Springer Nature eBook
Subject:	Graph theory. -
Online resource:	https://doi.org/10.1007/978-3-031-39756-1
ISBN:	9783031397561

Weighted and fuzzy graph theory
Mathew, Sunil.

Weighted and fuzzy graph theory[electronic resource] /by Sunil Mathew, John N. Mordeson, M. Binu. - Cham :Springer Nature Switzerland :2023. - xvii, 216 p. :ill., digital ;24 cm. - Studies in fuzziness and soft computing,v. 4291860-0808 ;. - Studies in fuzziness and soft computing ;v. 429..

Graphs and Weighted Graphs -- Connectivity -- More on Connectivity -- Cycle Connectivity -- Distance and Convexity -- Degree Sequences and Saturation -- Intervals and Gates -- Weighted Graphs and Fuzzy Graphs -- Fuzzy Results from Crisp Results.

One of the most preeminent ways of applying mathematics in real-world scenario modeling involves graph theory. A graph can be undirected or directed depending on whether the pairwise relationships among objects are symmetric or not. Nevertheless, in many real-world situations, representing a set of complex relational objects as directed or undirected is not su¢ cient. Weighted graphs o§er a framework that helps to over come certain conceptual limitations. We show using the concept of an isomorphism that weighted graphs have a natural connection to fuzzy graphs. As we show in the book, this allows results to be carried back and forth between weighted graphs and fuzzy graphs. This idea is in keeping with the important paper by Klement and Mesiar that shows that many families of fuzzy sets are lattice isomorphic to each other. We also outline the important work of Head and Weinberger that show how results from ordinary mathematics can be carried over to fuzzy mathematics. We focus on the concepts connectivity, degree sequences and saturation, and intervals and gates in weighted graphs.

ISBN: 9783031397561

Standard No.: 10.1007/978-3-031-39756-1doiSubjects--Topical Terms:

523815
Graph theory.

LC Class. No.: QA166

Dewey Class. No.: 511.5

Weighted and fuzzy graph theory
LDR:02405nmm a2200337 a 4500 001 2333973
003 DE-He213
005 20230820184817.0
006 m d
007 cr nn 008maaau
008 240402s2023 sz s 0 eng d
020 $a 9783031397561 $q (electronic bk.)
020 $a 9783031397554 $q (paper)
024 7 $a 10.1007/978-3-031-39756-1 $2 doi
035 $a 978-3-031-39756-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA166
072 7 $a UYQ $2 bicssc
072 7 $a TEC009000 $2 bisacsh
072 7 $a UYQ $2 thema
082 0 4 $a 511.5 $2 23
090 $a QA166 $b .M428 2023
100 1 $a Mathew, Sunil. $3 3299754
245 1 0 $a Weighted and fuzzy graph theory $h [electronic resource] / $c by Sunil Mathew, John N. Mordeson, M. Binu.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2023.
300 $a xvii, 216 p. : $b ill., digital ; $c 24 cm.
490 1 $a Studies in fuzziness and soft computing, $x 1860-0808 ; $v v. 429
505 0 $a Graphs and Weighted Graphs -- Connectivity -- More on Connectivity -- Cycle Connectivity -- Distance and Convexity -- Degree Sequences and Saturation -- Intervals and Gates -- Weighted Graphs and Fuzzy Graphs -- Fuzzy Results from Crisp Results.
520 $a One of the most preeminent ways of applying mathematics in real-world scenario modeling involves graph theory. A graph can be undirected or directed depending on whether the pairwise relationships among objects are symmetric or not. Nevertheless, in many real-world situations, representing a set of complex relational objects as directed or undirected is not su¢ cient. Weighted graphs o§er a framework that helps to over come certain conceptual limitations. We show using the concept of an isomorphism that weighted graphs have a natural connection to fuzzy graphs. As we show in the book, this allows results to be carried back and forth between weighted graphs and fuzzy graphs. This idea is in keeping with the important paper by Klement and Mesiar that shows that many families of fuzzy sets are lattice isomorphic to each other. We also outline the important work of Head and Weinberger that show how results from ordinary mathematics can be carried over to fuzzy mathematics. We focus on the concepts connectivity, degree sequences and saturation, and intervals and gates in weighted graphs.
650 0 $a Graph theory. $3 523815
650 0 $a Fuzzy graphs. $3 724493
650 1 4 $a Computational Intelligence. $3 1001631
650 2 4 $a Graph Theory. $3 1567033
700 1 $a Mordeson, John N. $3 724492
700 1 $a Binu, M. $3 3590864
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Studies in fuzziness and soft computing ; $v v. 429. $3 3665163
856 4 0 $u https://doi.org/10.1007/978-3-031-39756-1
950 $a Intelligent Technologies and Robotics (SpringerNature-42732)