Bipolar fuzzy graphs

Akram, Muhammad

doi:10.1016/j.ins.2011.07.037

Cited by 320 publications

(140 citation statements)

References 36 publications

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“…Hongmei and Lianhua gave the definition of interval-valued graph in [15]. Recently Akram introduced the concepts of bipolar fuzzy graphs and interval-valued fuzzy graphs in [1,2,3]. Pal and Rashmanlou [23] studied irregular inteval-valued fuzzy graphs.…”

Section: Introductionmentioning

confidence: 99%

New Concepts of Interval-Valued Fuzzy Graphs with Application

Rashmanlou¹,

Jouybari²

2017

JMI

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Abstract. Concepts of graph theory are applied in many areas of computer science including image segmentation, data mining, clustering, image capturing and networking. Fuzzy graph theory is successfully used in many problems, to handle the uncertainty that occurs in graph theory. An interval-valued fuzzy graph is a generalized structure of a fuzzy graph that gives more precision, flexibility, and compatibility to a system when compared with systems that are designed using fuzzy graphs. In this paper, new concepts of irregular interval-valued fuzzy graphs such as neighbourly totally irregular intervalvalued fuzzy graph, highly irregular interval-valued fuzzy graphs and highly totally irregular interval-valued fuzzy graphs are introduced and investigated. A necessary and sufficient condition under which neighbourly irregular and highly irregular intervalvalued fuzzy graphs are equivalent is discussed.

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Section: Introductionmentioning

confidence: 99%

New Concepts of Interval-Valued Fuzzy Graphs with Application

Rashmanlou¹,

Jouybari²

2017

JMI

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“…Mordeson and Peng [18] introduced several notations on fuzzy graphs. Akram et al (see, [1][2][3][4]) have introduced several new concepts on fuzzy graphs.…”

Section: Introductionmentioning

confidence: 99%

Interval-Valued Fuzzy Soft Graphs

Zihni

Çelik

Kara

2017

Topological Algebra and Its Applications

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“…Operations on intuitionistic fuzzy graphs was studied by Parvathi, R et al [12] and an extensive study was carried out by Nivethana, V et al [11]. Akram et al [2], introduced balanced bipolar fuzzy graphs and Karunambigai, M G et al [7], introduced balanced intuitionistic fuzzy graphs and intuitionistic fuzzy hypergraphs. Akram et al [1], have discussed on novel applications of intuitionistic fuzzy digraphs in decision and support system.…”

Section: Introductionmentioning

confidence: 99%

Mild balanced Intuitionistic Fuzzy Graphs

Nivethana¹,

Parvathi²

2017

IJERA

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In this paper, we introduce intense subgraphs and feeble subgraphs based on their densities and discuss mild balanced IFG and equally balanced intuitionistic fuzzy subgraphs and their properties. The operations "sum" and "union" of subgraphs of Intuitionistic Fuzzy Graphs (IFG) are analyzed. As an application of equally balanced IF subgraphs, curriculum and syllabus formation in higher educational system is discussed. Mathematics Subject Classification: 05C72, 03E72, 03F55.

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Bipolar fuzzy graphs

Cited by 320 publications

References 36 publications

New Concepts of Interval-Valued Fuzzy Graphs with Application

New Concepts of Interval-Valued Fuzzy Graphs with Application

Interval-Valued Fuzzy Soft Graphs

Mild balanced Intuitionistic Fuzzy Graphs

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