Journal of Intelligent & Fuzzy Systems - Volume 26, issue 3

Authors: Hamzehee, Ali | Yaghoobi, Mohammad Ali | Mashinchi, Mashaalah

Article Type: Research Article

Abstract: In this paper, a linear programming (LP) problem is considered where some or all of its coefficients in the objective function and/or constraints are rough intervals. In order to solve this problem, we will construct two LP problems with interval coefficients. One of these problems is an LP where all of its coefficients are upper approximations of rough intervals and the other is an LP where all of its coefficients are lower approximations of rough intervals. Via these two LPs, two newly solutions (completely and rather satisfactory) are defined. Some examples are given to demonstrate the results.

Keywords: Linear programming, rough set theory, interval coefficients, rough interval coefficients

DOI: 10.3233/IFS-130804

Citation: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1179-1189, 2014

Authors: Wang, Shyue-Liang | Tsai, Zheng-Ze | Ting, I-Hsien | Hong, Tzung-Pei

Article Type: Research Article

Abstract: Growing popularity of social networking not only brings the convenience of information sharing but also concerns of privacy breaches. Information on social networks can be modeled as un-weighted or weighted graph data. To preserve privacy, k-anonymity on relational, set-valued, and graph data have been studied extensively in recent years. In this work, we consider the edge weight anonymity problem. In particular, to protect the weight privacy of the shortest path between two vertices on a weighted graph, we present a new concept called k-anonymous path privacy. A published social network graph with k-anonymous path privacy has at least k indistinguishable …shortest paths between the source and destination vertices. Three greedy-based modification algorithms, based on modifying different types of edges, to achieve k-anonymous path privacy are proposed. Experimental results showing the feasibility and characteristics of the proposed approach are presented. The proposed techniques clearly provide different options to achieve the same level of privacy under different requirements. Show more

Keywords: Social networks, privacy preserving, edge weight, shortest path, k-anonymity

DOI: 10.3233/IFS-130805

Citation: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1191-1199, 2014

Authors: Wei, Guiwu | Wang, Hongjun | Zhao, Xiaofei | Lin, Rui

Article Type: Research Article

Abstract: In this paper, we investigate the hesitant fuzzy multiple attribute decision making with incomplete weight information. An optimization model based on the maximizing deviation method, by which the attribute weight can be determined, is established. For the special situations where the information about attribute weights is completely unknown, we establish another optimization model. By solving this model, we get a simple and exact formula, which can be used to determine the attribute weights. We utilize the hesitant fuzzy weighted averaging (HFWA) operator to aggregate the hesitant fuzzy information corresponding to each alternative, and then rank the alternatives and select the …most desirable one(s) according to the score function. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effective. In this paper, we investigate the multiple attribute decision making (MADM) problems in which attribute values take the form of hesitant triangular fuzzy information. Firstly, definition and some operational laws of hesitant triangular fuzzy elements and score function of hesitant triangular fuzzy elements are introduced. Then, we have developed some hesitant triangular fuzzy aggregation operators: the hesitant triangular fuzzy weighted averaging (HTFWA) operator, hesitant triangular fuzzy weighted geometric (HTFWG) operator, hesitant triangular fuzzy ordered weighted averaging (HTFOWA) operator, hesitant triangular fuzzy ordered weighted geometric (HTFOWG) operator, hesitant triangular fuzzy hybrid average (HTFHA) operator and hesitant triangular fuzzy hybrid geometric (HTFHG) operator. We have applied the hesitant triangular fuzzy weighted averaging (HTFWA) operator, hesitant triangular fuzzy weighted geometric (HTFWG) operators to multiple attribute decision making with hesitant triangular fuzzy information. Finally an illustrative example has been given to show the developed method. Show more

Keywords: Multiple attribute decision making (MADM), hesitant triangular fuzzy elements, operational laws, hesitant triangular fuzzy weighted averaging (HTFWA) operator, hesitant triangular fuzzy weighted geometric (HTFWG) operator

DOI: 10.3233/IFS-130806

Citation: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1201-1209, 2014

Authors: Rashedi, Esmat | Nezamabadi-pour, Hossein

Article Type: Research Article

Abstract: Feature selection is one of the important activities in various fields such as computer vision and pattern recognition. In this paper, an improved version of the binary gravitational search algorithm (BGSA) is proposed and used as a tool to select the best subset of features with the goal of improving classification accuracy. By enhancing the transfer function, we give BGSA the ability to overcome the stagnation situation. This allows the search algorithm to explore a larger group of possibilities and avoid stagnation. To evaluate the proposed improved BGSA (IBGSA), classification of some well known datasets and improving the accuracy of …CBIR systems are experienced. Results are compared with those of original BGSA, genetic algorithm (GA), binary particle swarm optimization (BPSO), and electromagnetic-like mechanism. Comparative results confirm the effectiveness of the proposed IBGSA in feature selection. Show more

Keywords: Feature selection, binary gravitational search algorithm, dataset classification, content-based image retrieval

DOI: 10.3233/IFS-130807

Citation: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1211-1221, 2014

Authors: Ghosh, Debdas | Chakraborty, Debjani

Article Type: Research Article

Abstract: Decision making processes in imprecise environments are usually addressed by fuzzy multi-criteria optimization problems. It is significantly natural that complete information about non-dominated set for fuzzy multi-criteria optimization problem not only facilitates decision making process, but also helps the process to undergo in a proper mathematical way. However, in the literature no methodology is found yet to capture entire fuzzy non-dominated set. Thus, this paper attempts to generate complete fuzzy non-dominated set of fuzzy multi-criteria optimization problem. This is the main objective of the paper. The proposed study mainly focuses to observe the problem from fuzzy geometrical framework. In the …studied methodology, at first, fuzzy decision feasible region is constructed through a newly proposed fuzzy inequality relation using same points in fuzzy geometry. Then, fuzzy non-dominated set is formulated under a new definition of fuzzy Pareto set. Finally, modified normal boundary intersection method is being used to capture the fuzzy Pareto set of the problem. Proposed definitions and methodologies are supported by several numerical examples and pictorial illustrations. Show more

Keywords: Fuzzy multi-criteria optimization, modified normal boundary intersection method, same points, fuzzy inequality

DOI: 10.3233/IFS-130808

Citation: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1223-1234, 2014

Authors: Pattnaik, Sarojrani | Karunakar, D.B. | Jha, P.K.

Article Type: Research Article

Abstract: Investment casting is accepted worldwide on the basis of the superior quality of the castings being produced in terms of high dimensional accuracy and surface finish. It usually employs disposable wax patterns and the quality of the wax patterns are reflected in the investment cast product. Keeping this in mind, integration of desirability function approach and fuzzy logic for the multi-response optimization of wax patterns made by the investment casting process has been conceptualized in the present study. The aforementioned method overcomes the limitation of the desirability function approach for multi-response optimization problems. The responses, linear shrinkage and surface roughness …have been considered for simultaneous optimization. The input parameters considered are injection temperature, injection pressure and die temperature. A fuzzy model has been developed with desirability values of responses as inputs and multi-performance index (MPI) as output. The optimal levels of the process parameters are determined through the analysis of means of the MPIs. Confirmatory experiments are conducted to verify the optimal settings. The proposed method may be practically employed by the investment casters around the globe to increase the overall efficiency of the process and product. Show more

Keywords: Desirability function, fuzzy logic, multi-response optimization

DOI: 10.3233/IFS-130809

Citation: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1235-1244, 2014

Authors: Majumdar, Pinaki | Samanta, Syamal Kumar

Article Type: Research Article

Abstract: In this paper we have introduced the notion of distance between two single valued neutrosophic sets and studied its properties. We have also defined several similarity measures between them and investigated their characteristics. A measure of entropy of a single valued neutrosophic set has also been introduced.

Keywords: Single valued neutrosophic set, Hausdorff distance, similarity measure, weights, entropy, cardinality

DOI: 10.3233/IFS-130810

Citation: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1245-1252, 2014

Authors: Arotaritei, Dragos | Ionescu, Florin

Article Type: Research Article

Abstract: In this paper, we introduce “fuzzy Voronoi” diagrams for fuzzy numbers of dimension two (FNDT) by extension of crisp Voronoi diagrams for fuzzy numbers. The fuzzy Voronoi sites are defined as fuzzy numbers of dimension two. All the operations are defined in FNDT framework. We propose an analytical approach to compute the boundaries of fuzzy Voronoi diagram for pyramidal-shape FNDT.

Keywords: Fuzzy Voronoi diagram, fuzzy numbers of dimension two, generalized perpendicular bisector, computational geometry

DOI: 10.3233/IFS-130811

Citation: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1253-1262, 2014

Authors: Sheng, Yuhong | Wang, Chongguo

Article Type: Research Article

Abstract: An canonical process is stationary independent increment uncertain process whose increments are normal uncertain variables. Uncertain differential equation is a type of differential equation driven by the canonical process. This paper will give a concept of stability in p-th moment for uncertain differential equations. A sufficient and necessary condition for linear uncertain differential equation, and a sufficient condition with general uncertain differential equation being stable in p-th moment will be given.

Keywords: Uncertainty theory, uncertain differential equation, uncertain process, stability

DOI: 10.3233/IFS-130812

Citation: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1263-1271, 2014

Authors: Tripathy, Binod Chandra | Braha, N.L. | Dutta, A.J.

Article Type: Research Article

Abstract: In this paper we introduce the new classes of sequences $\ell _\infty ^F$ (M, A, φ, p, Δr ), mF (M, A, φ, p, Δr ) and CF (M, A, p, Δr ) of fuzzy numbers defined by Orlicz function. We study their different properties and established some inclusion relation involving these classes of sequences.

Keywords: Sequence space, Orlicz function, generalized difference

DOI: 10.3233/IFS-130813

Citation: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1273-1278, 2014