I want more than one example on this topic Definition 7.6.3 Let G be an interval-valued fuzzy graph. The closed neighborhood degree of x in G is defined by deg[x] = [degμ-[x], deg₁+[x]], where deg-[x] = deg-(x) + µÃ (x) deg+[x] = deg₁+ (x) + 쵆(x). If all the vertices have the same closed neighborhood degree m, then m is called a m-totally regular interval-valued fuzzy graph. Example 7.6.5 Consider a graph G* such that V = {V₁, V2, V3), E = {V₁ V2, V1V3}. Let A be an interval-valued fuzzy subset of V and let B be an interval-valued fuzzy subset of E defined by VI V2 V3 V1 V2 V1 V3 0.2 0.2 0.4 0.7 0.6 0.4 0.8 0.7 HB 0.3 0.4 It is easily shown that the interval-valued fuzzy graph G is neither regular nor totally regular.
I want more than one example on this topic Definition 7.6.3 Let G be an interval-valued fuzzy graph. The closed neighborhood degree of x in G is defined by deg[x] = [degμ-[x], deg₁+[x]], where deg-[x] = deg-(x) + µÃ (x) deg+[x] = deg₁+ (x) + 쵆(x). If all the vertices have the same closed neighborhood degree m, then m is called a m-totally regular interval-valued fuzzy graph. Example 7.6.5 Consider a graph G* such that V = {V₁, V2, V3), E = {V₁ V2, V1V3}. Let A be an interval-valued fuzzy subset of V and let B be an interval-valued fuzzy subset of E defined by VI V2 V3 V1 V2 V1 V3 0.2 0.2 0.4 0.7 0.6 0.4 0.8 0.7 HB 0.3 0.4 It is easily shown that the interval-valued fuzzy graph G is neither regular nor totally regular.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![I want more than one example on this topic
Definition 7.6.3 Let G be an interval-valued fuzzy graph. The closed neighborhood
degree of x in G is defined by deg[x] = [degµ-[x], degµ+[x]], where
deg-[x] = deg,-(x) + μ7 (x)
deg+[x] = deg₁+ (x) + µ†(x).
If all the vertices have the same closed neighborhood degree m, then m is called
a m-totally regular interval-valued fuzzy graph.
Example 7.6.5 Consider a graph G* such that V = {v1₁, V2, V3}, E = {V₁ V2, V103).
Let A be an interval-valued fuzzy subset of V and let B be an interval-valued fuzzy
subset of E defined by
VI V2 V3
0.4 0.7 0.6
0.4 0.8 0.7
V1 V2 V1 V3
HB 0.2 0.2
0.3 0.4
+
It is easily shown that the interval-valued fuzzy graph G is neither regular nor totally
regular.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb693be73-23d3-49df-8435-f46b00670140%2F575d07d5-41ae-4703-beae-e33235d73849%2F7dfkike_processed.jpeg&w=3840&q=75)
Transcribed Image Text:I want more than one example on this topic
Definition 7.6.3 Let G be an interval-valued fuzzy graph. The closed neighborhood
degree of x in G is defined by deg[x] = [degµ-[x], degµ+[x]], where
deg-[x] = deg,-(x) + μ7 (x)
deg+[x] = deg₁+ (x) + µ†(x).
If all the vertices have the same closed neighborhood degree m, then m is called
a m-totally regular interval-valued fuzzy graph.
Example 7.6.5 Consider a graph G* such that V = {v1₁, V2, V3}, E = {V₁ V2, V103).
Let A be an interval-valued fuzzy subset of V and let B be an interval-valued fuzzy
subset of E defined by
VI V2 V3
0.4 0.7 0.6
0.4 0.8 0.7
V1 V2 V1 V3
HB 0.2 0.2
0.3 0.4
+
It is easily shown that the interval-valued fuzzy graph G is neither regular nor totally
regular.
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