Logical Operations on Fuzzy Graphs

Shih-Chuan Cheng; John N. Mordeson

Logical Operations on Fuzzy Graphs

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

If a graph G is formed from graphs G₁ and G₂ by some logical operation, we determine if the same logical operation applied to two fuzzy subgraphs of G₁ and G₂ yields a fuzzy subgraph of G. We determine necessary and sufficient conditions for an arbitrary fuzzy subgraph of G to also be formed by the same operation from fuzzy subgraphs of G₁ and G₂.

Original language	English
Title of host publication	Joint Conference on Information Sciences - Proceedings, Abstracts and Summaries, JCIS 94
Pages	24-26
Number of pages	3
State	Published - 1994
Event	Joint Conference on Information Sciences - Proceedings, Abstracts and Summaries '94 - Pinehurst, NC, United States Duration: Nov 1 1994 → Nov 1 1994

Other

Other	Joint Conference on Information Sciences - Proceedings, Abstracts and Summaries '94
Country	United States
City	Pinehurst, NC
Period	11/1/94 → 11/1/94

All Science Journal Classification (ASJC) codes

Computer Science(all)

Cite this

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title = "Logical Operations on Fuzzy Graphs",

abstract = "If a graph G is formed from graphs G1 and G2 by some logical operation, we determine if the same logical operation applied to two fuzzy subgraphs of G1 and G2 yields a fuzzy subgraph of G. We determine necessary and sufficient conditions for an arbitrary fuzzy subgraph of G to also be formed by the same operation from fuzzy subgraphs of G1 and G2.",

author = "Shih-Chuan Cheng and Mordeson, {John N.}",

year = "1994",

language = "English",

pages = "24--26",

booktitle = "Joint Conference on Information Sciences - Proceedings, Abstracts and Summaries, JCIS 94",

note = "null ; Conference date: 01-11-1994 Through 01-11-1994",

}

TY - GEN

T1 - Logical Operations on Fuzzy Graphs

AU - Cheng, Shih-Chuan

AU - Mordeson, John N.

PY - 1994

Y1 - 1994

N2 - If a graph G is formed from graphs G1 and G2 by some logical operation, we determine if the same logical operation applied to two fuzzy subgraphs of G1 and G2 yields a fuzzy subgraph of G. We determine necessary and sufficient conditions for an arbitrary fuzzy subgraph of G to also be formed by the same operation from fuzzy subgraphs of G1 and G2.

AB - If a graph G is formed from graphs G1 and G2 by some logical operation, we determine if the same logical operation applied to two fuzzy subgraphs of G1 and G2 yields a fuzzy subgraph of G. We determine necessary and sufficient conditions for an arbitrary fuzzy subgraph of G to also be formed by the same operation from fuzzy subgraphs of G1 and G2.

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UR - http://www.scopus.com/inward/citedby.url?scp=1642295866&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:1642295866

SP - 24

EP - 26

BT - Joint Conference on Information Sciences - Proceedings, Abstracts and Summaries, JCIS 94

Y2 - 1 November 1994 through 1 November 1994

ER -