New concepts of interval-valued intuitionistic (S, T)-fuzzy graphs

2016 ◽  
Vol 30 (4) ◽  
pp. 1893-1901 ◽  
Author(s):  
Hossein Rashmanlou ◽  
R.A. Borzooei
Keyword(s):  
Fuzzy Graphs ◽  
New Concepts ◽  
Interval Valued

scholarly journals NEW CONCEPTS OF REGULAR INTERVAL-VALUED FUZZY GRAPHS

2017 ◽  
Vol 35 (1_2) ◽  
pp. 95-111
Author(s):  
A.A. TALEBI ◽  
HOSSEIN RASHMANLOU ◽  
BIJAN DAVVAZ
Keyword(s):  
Fuzzy Graphs ◽  
New Concepts ◽  
Interval Valued

scholarly journals New Concepts of Interval-Valued Fuzzy Graphs with Application

2017 ◽  
Vol 8 ◽  
pp. 69-81 ◽  
Author(s):  
Hossein Rashmanlou ◽  
◽  
Mostafa Nouri Jouybari
Keyword(s):  
Fuzzy Graphs ◽  
New Concepts ◽  
Interval Valued

New concepts of domination in fuzzy graph structures with application

2021 ◽  
pp. 1-13
Author(s):  
A.A. Talebi ◽  
G. Muhiuddin ◽  
S.H. Sadati ◽  
Hossein Rashmanlou
Keyword(s):  
Intelligent Systems ◽  
Dominating Set ◽  
Domination Number ◽  
Graph Structure ◽  
Multiple Relationships ◽  
Fuzzy Graph ◽  
Complex Problems ◽  
Graph Structures ◽  
Fuzzy Graphs ◽  
New Concepts

Fuzzy graphs have a prominent place in the mathematical modelling of the problems due to the simplicity of representing the relationships between topics. Gradually, with the development of science and in encountering with complex problems and the existence of multiple relationships between variables, the need to consider fuzzy graphs with multiple relationships was felt. With the introduction of the graph structures, there was better flexibility than the graph in dealing with problems. By combining a graph structure with a fuzzy graph, a fuzzy graph structure was introduced that increased the decision-making power of complex problems based on uncertainties. The previous definitions restrictions in fuzzy graphs have made us present new definitions in the fuzzy graph structure. The domination of fuzzy graphs has many applications in other sciences including computer science, intelligent systems, psychology, and medical sciences. Hence, in this paper, first we study the dominating set in a fuzzy graph structure from the perspective of the domination number of its fuzzy relationships. Likewise, we determine the domination in terms of neighborhood, degree, and capacity of vertices with some examples. Finally, applications of domination are introduced in fuzzy graph structure.

Geometric-arithmetic energy and atom bond connectivity energy of dual hesitant q-rung orthopair fuzzy graphs

2021 ◽  
Vol 40 (1) ◽  
pp. 1287-1307
Author(s):  
Muhammad Akram ◽  
Sumera Naz ◽  
Sundas Shahzadi ◽  
Faiza Ziaa
Keyword(s):  
Upper And Lower Bounds ◽  
Fuzzy Information ◽  
New Approach ◽  
Fuzzy Graphs ◽  
New Concepts ◽  
Multi Attribute Decision Making ◽  
Hesitation Degree ◽  
A New Technique ◽  
Atom Bond ◽  
Selection Of

 q-Rung orthopair fuzzy sets (q-ROFSs), originally proposed by Yager, can powerfully modify the range of indication of decision information by changing a parameter q based on the different hesitation degree, and the dual hesitant q-rung orthopair fuzzy set (DHq-ROFS), a new technique to consider human’s hesitance, can be more substantial of dealing with real multi-attribute decision making (MADM) problems. Inspired by DHq-ROFSs, in this article, we extend the concept of q-rung orthopair fuzzy graphs to dual hesitant q-rung orthopair fuzzy context and introduce the innovative concept of a dual hesitant q-rung orthopair fuzzy graphs based on Hamacher operator called dual hesitant q-rung orthopair fuzzy Hamacher graphs (DHq-ROFHGs). We propose the new concepts of geometric-arithmetic energy and atom bond connectivity energy of a DHq-ROFHG and determine its upper and lower bounds. Moreover, on the basis of the proposed concept of DHq-ROFHGs, we introduce a new approach to solve the MADM problems with dual hesitant q-rung orthopair fuzzy information. At the end, we give a numerical model related to the selection of most significant defensive factor to illustrate the applicability of the developed approach, and exhibit its viability. Comparative analysis is conducted and the superiorities are illustrated.

scholarly journals Simplified interval-valued Pythagorean fuzzy graphs with application

2019 ◽  
Vol 5 (2) ◽  
pp. 229-253 ◽  
Author(s):  
Muhammad Akram ◽  
Sumera Naz ◽  
Bijan Davvaz
Keyword(s):  
Fuzzy Graphs ◽  
Interval Valued

scholarly journals On different kinds of arcs in interval valued fuzzy graphs

2019 ◽  
Vol 7 (2) ◽  
pp. 309-313 ◽  
Author(s):  
Ann Mary Philip ◽  
Sunny Joseph Kalayathankal ◽  
Joseph Varghese Kureethara
Keyword(s):  
Fuzzy Graphs ◽  
Interval Valued

scholarly journals Interval-Valued Fuzzy Graphs

2020 ◽  
Vol 20 (4) ◽  
pp. 316-323
Author(s):  
Tarasankar Pramanik ◽  
Sovan Samanta ◽  
Madhumangal Pal
Keyword(s):  
Fuzzy Graphs ◽  
Interval Valued

scholarly journals Perfect Dominating Set of An Interval-Valued Fuzzy Graphs

2021 ◽  
pp. 35-46
Author(s):  
Faisal M. AL-Ahmadi ◽  
Mahiuob M. Q. Shubatah
Keyword(s):  
Network Theory ◽  
Dominating Set ◽  
Domination Number ◽  
Fuzzy Graphs ◽  
Relationship Of ◽  
The Relationship ◽  
Interval Valued

Aims/ Objectives: Perfect domination is very much useful in network theory, Electrical stations and several fields of mathematics. In This paper, perfect domination in an intervalvalued fuzzy graphs is defined and studied. Some bounds on perfect domination number γp(G) are provided for several interval-valued fuzzy graphs, such as complete, wheel and star,.. etc. Furthermore, the relationship of γp(G): with some other known parameters in interval-valued fuzzy graphs investigated with some suitable examples.

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