Journal of Intelligent & Fuzzy Systems - Volume 33, issue 6

Authors: Sahoo, Sankar | Pal, Madhumangal | Rashmanlou, Hossein | Borzooei, R.A.

Article Type: Research Article

Abstract: The concepts of covering and matching in an intuitionistic fuzzy graph using strong arcs are introduced and established many interesting properties on it. The notion of paired domination in intuitionistic fuzzy graph using strong arcs is also studied. The strong paired domination number γ spr of complete intuitionistic fuzzy graph and complete bipartite intuitionistic fuzzy graph is determined and investigated many interesting properties on it.

Keywords: Intuitionistic fuzzy graphs, covering, matching, paired domination

DOI: 10.3233/JIFS-17848

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 4007-4015, 2017

Authors: Wu, Xiu-Yun | Bai, Shi-Zhong

Article Type: Research Article

Abstract: In M -fuzzifying interval spaces, the notion of M -fuzzifying base-point orders is introduced, by which some characterizations of M -fuzzifying geometric (resp. Peano, Pasch) interval spaces are obtained. Then notions of M -fuzzifying gated sets, M -fuzzifying gate maps and M -fuzzifying gated amalgamations are introduced. It is shown that M -fuzzifying gated sets are preserved by M -fuzzifying IP-surjective mappings, and that the M -fuzzifying Peano (resp. Pasch, modular, JHC) property is preserved by M -fuzzifying gated amalgamations. In particular, the M -fuzzifying sand-glass property is also preserved by M -fuzzifying gated amalgamations provided that the corresponding M …-fuzzifying gate maps are M -fuzzifying II-mappings. Show more

Keywords: M-fuzzifying convex structure, M-fuzzifying interval space, M-fuzzifying base-point order, M-fuzzifying gate, M-fuzzifying gated amalgamation

DOI: 10.3233/JIFS-17903

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 4017-4029, 2017

Authors: Wen, Yu-Fei | Zhong, Yu | Shi, Fu-Gui

Article Type: Research Article

Abstract: In this paper, the degree to which an L -subset of a vector space is an L -convex set is introduced and their characterizations are given. Besides, we obtain an L -fuzzy convexity induced by L -convex degrees, and analyze their L -fuzzy convexity preserving mappings and L -fuzzy convex-to-convex mappings.

Keywords: L-fuzzy convexity, L-convex degree, L-fuzzy convexity preserving mapping, L-fuzzy convex-to-convex mapping

DOI: 10.3233/JIFS-17912

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 4031-4041, 2017

Authors: Abd Elaziz, Mohamed E.

Article Type: Research Article

Abstract: The microarray data are important to detect diseases, however, there are a large number of genes with small sample size, and this leads to slow convergence speed and reducing the prediction accuracy. Therefore, reducing the dimension of data is needed as preprocessing step for classification of data. There are two methods can be used to perform the dimension reduction, namely, the feature extraction and feature selection. The feature extraction methods are transforming data into another space and then a subset of features are selected using some criteria. The projection of the measurements, using these methods, is different from the original …data. Unlike feature extraction, the feature selection methods select relevant features without changing their values, however, these methods need a large time than feature extraction. There are some algorithms can simultaneously select and extract features from data to take the advantages of both methods. This paper proposed a new simultaneous feature extraction/selection method for high-dimensional microarray data. The proposed method combines fuzzy neighborhood rough set method with nonnegative matrix factorization based on multiobjective evolutionary. To evaluate the accuracy of our approach, a computational experiments were performed on seven gene microarray datasets with diverse characteristics. Experimental results illustrate that the proposed method is better than other algorithms in term of performance measures. Show more

Keywords: Principal component analysis (PCA), independent component analysis (ICA), nonnegative matrix factorization (NMF) and fuzzy neighborhood rough set (FNRS)

DOI: 10.3233/JIFS-17954

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 4043-4053, 2017

Authors: Abdel-Basset, Mohamed | Mohamed, Mai | Zhou, Yongquan | Hezam, Ibrahim

Article Type: Research Article

Abstract: The main objective of this research is to give an overview of the Analytic Hierarchy Process (AHP) in neutrosophic environment. In some realistic situations, the decision makers might be unable to assign deterministic evaluation values to the comparison judgments due to his/her limited knowledge or the differences of individual judgments in group decision making. To overcome these challenges, we have used neutrosophic set theory to handle the AHP, where each pair-wise comparison judgment is represented as a triangular neutrosophic number (TNN). In this paper, neutrosophic theory is used to form AHP decision-making model for choosing the best candidates among the …applications. A real life example is developed based on expert opinions from Zagazig University, Egypt. The problem is solved to show the effectiveness of the proposed neutrosophic-AHP decision making model. Show more

Keywords: Analytic hierarchy process, multi-criteria decision making, neutrosophic set theory, consistency test

DOI: 10.3233/JIFS-17981

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 4055-4066, 2017

Authors: Wang, Weize

Article Type: Research Article

Abstract: In a paper by Wang and Elhag [Ying-Ming Wang and Taha M.S. Elhag, Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment, Expert Systems with Applications 31 (2006) 309-319], a fuzzy TOPSIS method on alpha level sets was introduced and a nonlinear programming solution procedure was presented. It is found that in the case that the fuzzy decision matrix is of the same dimension and needs no normalization, a pair of nonlinear programming models is incorrect for computing the relative closeness provided by the above paper. In this paper we present a correct pair …of nonlinear programming models in the case of the same dimension and justify it from the viewpoint of monotonic function. An illustrated example for selecting the best supplier of metallic components used in a variety of transmission cables has been examined using the proposed programming models to fuzzy TOPSIS method and demonstrated its superiorities, rationalities. Show more

Keywords: Nonlinear programming problem, TOPSIS, fuzzy multiple criteria decision making, fuzzy weighted average, alpha level sets

DOI: 10.3233/JIFS-17983

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 4067-4076, 2017

Authors: Ali, Mumtaz | Son, Le Hoang | Deli, Irfan | Tien, Nguyen Dang

Article Type: Research Article

Abstract: Neutrosophic set, proposed by Smarandache considers a truth membership function, an indeterminacy membership function and a falsity membership function. Soft set, proposed by Molodtsov is a mathematical framework which has the ability of independency of parameterizations inadequacy, syndrome of fuzzy set, rough set, probability. Those concepts have been utilized successfully to model uncertainty in several areas of application such as control, reasoning, game theory, pattern recognition, and computer vision. Nonetheless, there are many problems in real-world applications containing indeterminate and inconsistent information that cannot be effectively handled by the neutrosophic set and soft set. In this paper, we propose the …notation of bipolar neutrosophic soft sets that combines soft sets and bipolar neutrosophic sets. Some algebraic operations of the bipolar neutrosophic set such as the complement, union, intersection are examined. We then propose an aggregation bipolar neutrosophic soft operator of a bipolar neutrosophic soft set and develop a decision making algorithm based on bipolar neutrosophic soft sets. Numerical examples are given to show the feasibility and effectiveness of the developed approach. Show more

Keywords: Algebraic operations, bipolar neutrosophic soft sets, decision making, neutrosophic sets, soft sets

DOI: 10.3233/JIFS-17999

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 4077-4087, 2017