Fuzzy Information and Engineering

Dhanyamol, M.V.; Mathew, Sunil

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.09.002

AbstractIntervals and convexity play crucial roles in the applications of graph theory such as town planning and design of graphics. In this article, the concept of geodetic interval in graphs is extended to fuzzy graphs. Intervals are useful in the study of properties of fuzzy graphs which depend on the geodetic distance between vertices. The axiomatic definition of intervals in fuzzy graphs are used to define intervals in different fuzzy graph structures like fuzzy trees and complete fuzzy graphs. Finally a set theoretic operations of intervals like union, intersection are also discussed and some results are obtained.

Kordrostami, S.; Noveiri, M. Jahani Sayyad

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.09.003

AbstractIn many real world applications, the efficiency of production systems should be determined in multiple periods of time while inputs and outputs are imprecise and fuzzy. However, the relative efficiencies of decision making units (DMUs) in the traditional data envelopment analysis (DEA) models are usually measured in a particular period of time and in the presence of precise inputs and outputs. Therefore, the current paper proposes a method to measuring the overall and period efficiencies of DMUs under uncertainty. Actually, a fuzzy DEA approach, which has been based on a fuzzy expected value method, is suggested to calculate the performance of DMUs with fuzzy input/output factors in several periods of time. Furthermore, efficiency changes of DMUs are handled in fuzzy multi-period systems by global Malmquist productivity index (MPI) with common-weights. The proposed approach is illustrated and clarified with two numerical examples. The introduced method can be utilized in the presence symmetrical and asymmetrical fuzzy numbers.

Bera, Tuhin; Mahapatra, Nirmal Kumar

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.09.004

AbstractThe concept of neutrosophic soft linear space (NSLS) is introduced and its several related properties and structural characteristics are investigated in this paper with suitable examples. Then cartesian product of neutrosophic soft linear spaces, neutrosophic soft subspace and neutrosophic soft vector are defined and illustrated by examples. Finally some related basic theorems have been established, too.

Amroune, Abdelaziz; Oumhani, Ali; Davvaz, Bijan

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.09.005

AbstractThe starting point of this work comes from the results obtained by Inheung Chon in his paper “Fuzzy partial order relations and fuzzy lattices”. In this way, some characterizations of filters and prime filters are given. Also, we characterize fuzzy -filters and fuzzy prime -filters using their -cuts. Finally, we give necessary and sufficient conditions under which a fuzzy set is a prime -filter, presenting the notion of fuzzy lattices isomorphism.

Nilashi, Mehrbakhsh; Ibrahim, Othman; Dalvi, Mohammad; Ahmadi, Hossein; Shahmoradi, Leila

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.09.006

AbstractAs a chronic disease, diabetes mellitus has emerged as a worldwide epidemic. Providing diagnostic aid for diabetes disease by using a set of data that contains only medical information obtained without advanced medical equipment, can help numbers of people who want to discover the disease or the risk of disease at an early stage. This can possibly make a huge positive impact on a lot of peoples lives. The aim of this study is to classify diabetes disease by developing an intelligence system using machine learning techniques. Our method is developed through clustering, noise removal and classification approaches. Accordingly, we use SOM, PCA and NN for clustering, noise removal and classification tasks, respectively. Experimental results on Pima Indian Diabetes dataset show that proposed method remarkably improves the accuracy of prediction in relation to methods developed in the previous studies. The hybrid intelligent system can assist medical practitioners in the healthcare practice as a decision support system.

Zedam, Lemnaouar; Milles, Soheyb; Rak, Ewa

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.09.007

AbstractIn this paper, based on the concept of intuitionistic fuzzy lattice previously introduced by Tripathy and his colleagues, a class of intuitionistic fuzzy complete lattices is proposed with some interesting characterizations given. In particular, we show the fixed point property for this proposed class. Conversely, we show that any intuitionistic fuzzy lattice is complete having its fixed point property. These results establish a criterion for completeness of intuitionistic fuzzy lattices in terms of the fixed points of their intuitionistic fuzzy monotone mappings.

Panja, Prabir; Mondal, Shyamal Kumar; Chattopadhyay, Joydev

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.10.001

AbstractIn this paper, a fuzzy mathematical model on cholera disease has been developed in which all parameters related to the disease have been considered as fuzzy numbers. Here, total human population is divided into three subpopulations such as susceptible persons, infected ones and recovered ones. Also, the bacterial population is the Vibrio Cholerae in the environment. Then the existence condition and boundedness of solution to our proposed mathematical model have been discussed. Also, the different equilibrium points and the stability condition of the system around these equilibrium points have been analyzed. The global stability condition of the proposed system around the endemic equilibrium point has been also discussed. Finally, some numerical simulations have been shown to test the theoretical results of the system.

Asghari, M.; Yang, Ji-hui

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.09.001