Your search for: 'author:("Borzooei, Rajab Ali")' has returned 11 results. (0.023s) Save search

Authors: Akram, Muhammad | Sarwar, Musavarah | Borzooei, Rajab Ali

Article Type: Research Article

Abstract: A hypergraph is one of the most developing area for modeling various practical problems in different fields, including computer science, biological sciences, social networks and psychology. Our main discussion in this research paper is to apply the notion of intuitionistic fuzzy sets to extend the theory of hypergraphs. We introduce the concept of isomorphism, dual intuitionistic fuzzy hypergraph, intuitionistic fuzzy line graph and 2-section of an intuitionistic fuzzy hypergraph. We present some applications of intuitionistic fuzzy hypergraphs in planet surface networks, selection of authors of of intersecting communities in a social network and grouping of incompatible chemical substances. We design …certain algorithms to construct dual intuitionistic fuzzy hypergraph, intuitionistic fuzzy line graph and the selection of objects in decision-making problems. Show more

Keywords: Isomorphism, intuitionistic fuzzy hypergraph, planet surface network, social network, incompatible chemicals Mathematics Subject Classification 2010: 05C65, 05C85, 05C90, 03E72

DOI: 10.3233/JIFS-171443

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 1905-1922, 2018

Authors: Rashmanlou, Hossein | Samanta, Sovan | Pal, Madhumangal | Borzooei, Rajab Ali

Article Type: Research Article

Abstract: Recently, bipolar fuzzy graph is a growing research topic as it is the generalization of fuzzy graphs. In this paper, at first we define three new operations on bipolar fuzzy graphs, viz. direct product, semi strong product and strong product. Likewise, sufficient conditions for each one of them to be complete are given. Also, it is proved that any of the products of strong bipolar fuzzy graphs are strong bipolar fuzzy graphs.

Keywords: Bipolar fuzzy graph, direct product, strong product, ring sum

DOI: 10.3233/IFS-141333

Citation: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 2, pp. 571-580, 2015

Authors: Borzooei, Rajab Ali | Ahn, Sun Shin | Jun, Young Bae

Article Type: Research Article

Abstract: This article has been retracted. A retraction notice can be found at https://doi.org/10.3233/JIFS-219433 .

DOI: 10.3233/JIFS-233295

Citation: Journal of Intelligent & Fuzzy Systems, vol. 46, no. 4, pp. 8231-8243, 2024

Authors: Samanta, Sovan | Pal, Madhumangal | Rashmanlou, Hossein | Borzooei, Rajab Ali

Article Type: Research Article

Abstract: Vague graph represents the systems with uncertainty perfectly. In this paper, we introduced the strengths of paths in vague graphs. Different types of strong edges are discussed with examples. A new concept of strong edges, namely, independent strong edges is defined. The condition of vertex membership values of a complete vague graph such that all the edges are independent strong edge, is established. After that, strong vertex, vertex connectivity, edge connectivity of vague graphs are introduced. The relation between edge connectivity and independent strong edge is established. Besides, several properties of the stated graphs have been proved.

Keywords: Vague graphs, strong edges, connectivity in vague graphs

DOI: 10.3233/IFS-162113

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3675-3680, 2016

Authors: Borzooei, Rajab Ali | Rashmanlou, Hossein | Samanta, Sovan | Pal, Madhumangal

Article Type: Research Article

Abstract: In this paper, some new connectivity concepts in fuzzy labeling graphs are defined. The concepts of strong arc, partial cut node, bridge and block are introduced. A new type of fuzzy labeling graphs called θ -fuzzy labeling graphs is defined. Likewise, this paper generalizes the tree concept in fuzzy labeling graph, which plays a crucial role in many areas of science and technology.

Keywords: Fuzzy labeling graph, partial cutnode, partial bridge, strong cycle

DOI: 10.3233/IFS-152082

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3349-3355, 2016

Authors: Borzooei, Rajab Ali | Rashmanlou, Hossein | Samanta, Sovan | Pal, Madhumangal

Article Type: Research Article

Abstract: A vague 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, vague competition graph and m -step competition graphs related to a vague graph are introduced. Likewise, some interesting theorems on them, which are related to the independent strong edges of the vague competition graphs are investigated.

Keywords: Vague graphs, vague competition graphs, vague out-neighbourhood

DOI: 10.3233/IFS-162121

Citation: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 69-75, 2016

Authors: Borzooei, Rajab Ali | Rashmanlou, Hossein | Samanta, Sovan | Pal, Madhumangal

Article Type: Research Article

Abstract: A vague 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, some properties of an edge regular vague graph are given. Particularly, strongly regular, edge regular and bi-regular vague graphs are defined and the necessary and sufficient condition for a vague graph to be strongly regular is studied. Likewise, we have introduced a partially edge regular vague graph and fully edge regular vague graph with suitable illustrations. Finally, we gave an application of vague digraph in travel …time. Show more

Keywords: Vague graph, strongly regular vague graph, bi-regular vague graph

DOI: 10.3233/IFS-162114

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3681-3689, 2016

Authors: Bakhshi, Mahmood | Ahn, Sun Shin | Jun, Young Bae | Borzooei, Rajab Ali

Article Type: Research Article

Abstract: This article has been retracted. A retraction notice can be found at https://doi.org/10.3233/JIFS-219433 .

DOI: 10.3233/JIFS-233898

Citation: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-15, 2024

Authors: Rashmanlou, Hossein | Pal, Madhumangal | Borzooei, Rajab Ali | Mofidnakhaei, F. | Sarkar, Biswajit

Article Type: Research Article

Abstract: Theoretical concepts of graphs are highly utilized by computer science applications. Especially in research areas of computer science such as data mining, image segmentation, clustering, image capturing and networking. The interval-valued fuzzy graphs are more flexible and compatible than fuzzy graphs due to the fact that they have many applications in networks. In this paper, at first we define three new operations on interval-valued fuzzy graphs namely strong product, tensor product and lexicographic product. Likewise, we study about the degree of a vertex in interval-valued fuzzy graphs which are obtained from two given interval-valued fuzzy graphs using the operations Cartesian …product, composition, tensor and strong product of two interval-valued fuzzy graphs. These operations are highly utilized by computer science, geometry, algebra, number theory and operation research. In addition to the existing operations these properties will also be helpful to study large interval-valued fuzzy graph as a combination of small, interval-valued fuzzy graphs and to derive its properties from those of the smaller ones. Show more

Keywords: Cartesian product, composition, tensor product, lexicographic product

DOI: 10.3233/JIFS-181488

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 6, pp. 6443-6451, 2018

Authors: Khademan, Somayeh | Zahedi, Mohammad Mehdi | Jun, Young Bae | Borzooei, Rajab Ali

Article Type: Research Article

Abstract: Fuzzy soft set theory is applied to hyper BCK -algebras. The notion of fuzzy soft positive implicative hyper BCK -ideals is introduced, and several properties are investigated. The relation between fuzzy soft positive implicative hyper BCK -ideal and fuzzy soft hyper BCK -ideal is considered. Characterizations of fuzzy soft positive implicative hyper BCK -ideal are provided. Using the notion of positive implicative hyper BCK -ideal, a fuzzy soft weak (strong) hyper BCK -ideal is established.

Keywords: Hyper BCK-algebra, fuzzy soft hyper BCK-ideal, fuzzy soft positive implicative hyper BCK-ideal

DOI: 10.3233/JIFS-181755

Citation: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 3, pp. 2605-2613, 2019