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

Authors: Chen, Ke | Wang, Meng

Article Type: Research Article

Abstract: Loans from international financial organizations projects and financial expenditure in Beijing two basic concepts of performance evaluation model, index system, evaluation method, organization and management, working procedures and the application of evaluation results for the study, comparative analysis, summarizes the two performance Evaluation mode characteristics and should pay attention to their problems, from the practical point of view the financial sector for the future evaluation of how to further strengthen the performance of policy recommendations, which guide and regulate for the proper supervision and management of financial resources, the formation of effective law enforcement and supervision of financial Constraints and …improve efficiency in the use of financial resources has important practical significance. In this paper, we investigate the MADM problems for evaluating the performance of projects loaned by international financial organizations with the fuzzy number intuitionistic fuzzy numbers (FNIFNs). We first introduce some operations on the FNIFNs. Then, we further develop the induced fuzzy number intuitionistic fuzzy Hamacher ordered weighted averaging (IFNIFHOWA) operator based on the induced OWA (IOWA) operator. Then, we apply the IFNIFHOWA to deal with multiple attribute decision making with the FNIFNs. Finally an illustrative example for performance evaluation of projects loaned by international financial organizations is given to show the developed method. Show more

Keywords: Multiple attribute decision making (MADM), fuzzy number intuitionistic fuzzy sets, Hamacher geometric aggregation operators, induced fuzzy number intuitionistic fuzzy Hamacher ordered weighted averaging (IFNIFHOWA) operator

DOI: 10.3233/JIFS-16922

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3505-3514, 2017

Authors: Khatua, Debnarayan | Maity, Kalipada

Article Type: Research Article

Abstract: In this article, we have proposed a new approach on the stability of a fuzzy dynamical system (FDS). Initially, we tried interval mathematics on FDS to check the stability. But when the interval mathematics fails, we have applied the quasi-level-wise system using the operators “e” and “g” and it appears that, this is the best technique to convert the unstable FDS to stable systems. Finally, the said technique is applied on different kinds of FDS and respective numerical results are presented in tabular and graphical form.

Keywords: Fuzzy dynamical system, stability, quasi-level-wise system, autonomous/non-autonomous system

DOI: 10.3233/JIFS-17165

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3515-3528, 2017

Authors: Danesh, Malihe | Shirgahi, Hossein

Article Type: Research Article

Abstract: This paper proposes a novel evolutionary clustering algorithm and prepares eligible initial centroids for K-Means algorithm by global search approach of efficient hybrid knowledge of swarm intelligence algorithms. Clustering performs data grouping into subsets with common features, So that useful information can be retrieved from them. Swarm intelligence algorithms with evolutionary optimization approach have been very efficient performance in these matters. In this paper, a novel hybrid algorithm called IFAPSO has been proposed which uses swarm hybrid knowledge of Firefly and PSO intelligence algorithms to make an effective data clustering. Performance improvement of PSO and Firefly swarm algorithms and resolve …the deficiency of each of them is applied and hybrid of them has been used to benefit from both algorithms into clustering problem effectively. Also this hybrid swarm algorithm overcomes the initial centers’ selection sensitivity and the limitation of local optima in K-Means. We used five benchmarks with several samples and features to evaluate our work. The comparison between proposed methods with the traditional algorithms and previous hybrid methods, suggest that there is more compactness of the resulting clusters and promising accuracy is achieved. Show more

Keywords: Clustering, swarm intelligence, K-Means, firefly, PSO

DOI: 10.3233/JIFS-17170

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3529-3538, 2017

Authors: Najafi, Nematallah | Allahviranloo, Tofigh

Article Type: Research Article

Abstract: In this paper, we study semi-analytical methods entitled fuzzy fractional differential transform method to solve fuzzy impulsive fractional differential equations using Caupto fractional derivative. At the end first of all fuzzy differential transform method in fractional case is defined and its properties are considered completely. Then existence and uniquness theorem for the solution are proved and convergence of the proposed method is considered in details. Some examples indicate that this method can be easily applied to many linear and nonlinear problems.

Keywords: Fractional differential transform method, fuzzy impulsive fractional differential, generalized Hukuhara differentiability

DOI: 10.3233/JIFS-17190

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3539-3560, 2017

Authors: Tarsuslu(Yılmaz), Sinem | Çuvalcıoğlu, Gökhan | Demirbaş, Emine

Article Type: Research Article

Abstract: Let S be a multiplicative subset of a commutative ring R . We considered a R  × S as a universal and introduced the notion of lower[upper] approximations in a R  × S  . Also, we gave some properties of the lower[upper] approximations in a R  × S  . We obtained some properties of rough ideals

Keywords: Rough set, multiplicative set, fuzzy ideal, approximation space

DOI: 10.3233/JIFS-17198

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3561-3567, 2017

Authors: Oh, Ju-Mok | Kim, Yong Chan

Article Type: Research Article

Abstract: In this paper, as an extension of variable precision (θ , σ )-fuzzy rough sets, we introduce the notion of the generalized granular variable precision ( R _ β , R ¯ β ) -fuzzy rough sets determined by fuzzy granules with R  ∈ L X ×Y on a residuated and co-residuated lattice with an involution N . We investigate the properties of R _ β and R ¯ β with e L Y …and d L Y are (L , ⊙)-fuzzy preorder and (L , ⊕)-fuzzy co-preorder, respectively. Moreover, we investigate Alexander topologies and Alexander co-topologies induced by R _ ⊤ and R ¯ ⊥ , respectively. For an L -fuzzy relation R  ∈ L X ×X and R _ β , R ¯ β for each β  ∈ L , we obtain Alexandrov L -fuzzy pretopologies and Alexandrov L -fuzzy precotopologies on X , respectively. We give their examples. Show more

Keywords: Residuated(co-residuated) lattices, generalized granular variable precision approximation operators, fuzzy preorders (co-preorders), Alexander (L-fuzzy) topologies(co-topologies)

DOI: 10.3233/JIFS-17242

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3569-3582, 2017

Authors: Chen, Ke-Chih

Article Type: Research Article

Abstract: In this paper, a multiple-input single-output (MISO) fuzzy rules system is decomposed into its equivalent collection of single-input single-output (SISO) fuzzy rules systems. First, the constructive and destructive linguistic models are reviewed. Under certain conditions, the final consequence of the constructive linguistic model working on a MISO fuzzy rules system is equivalent to the final consequence of the constructive linguistic model working on a collection of SISO fuzzy rules systems. Meanwhile, under another conditions, the final consequence of the destructive linguistic model working on a MISO fuzzy rules system is equivalent to the final consequence of the destructive linguistic model …working on a collection of the SISO fuzzy rules systems. The decomposition of the MISO fuzzy rules system with fuzzy singleton consequent parts is also investigated. This paper shows the MISO fuzzy rules system requires many more rules than the SISO fuzzy rules system. Through the decomposing process, we can realize the inference result with fewer rules. Show more

Keywords: Fuzzy modeling, fuzzy rules system, decomposing, multiple-input single-output (MISO), single-input single-output (SISO)

DOI: 10.3233/JIFS-17245

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3583-3596, 2017

Authors: Jain, Mohit | Rani, Asha | Singh, Vijander

Article Type: Research Article

Abstract: Crow search algorithm (CSA) is a recently proposed metaheuristic optimizer inspired by the intelligent behaviour of crows with attributes like simplicity and ease of implementation. CSA is claimed superior and more effective in optimizing a variety of constrained engineering design problems in comparison to other state-of-art algorithms. In the present work, CSA is applied to high dimensional optimization problems and it is found that CSA suffers from premature convergence which leads to lower precision and less accuracy in optimization or sometimes failure. Therefore an improvement in CSA (ICSA) is suggested to solve high-dimensional global optimization problems efficiently. The balance between …exploitation and exploration capabilities of CSA is improved by introducing experience factor, adaptive adjustment operator and Lévy flight distribution in position updating mechanism of crows. Lévy flight distribution promotes continuous exploration of search space and prevents premature convergence by escaping from local optimum at any stage. The performance of ICSA is validated on high-dimensional nonlinear scalable benchmark test functions. The proposed improvement in CSA makes it highly competitive and less sensitive to function dimensions. ICSA is also found superior to other well established optimizers. Show more

Keywords: Crow search algorithm, Lévy flight, Unconstrained optimization

DOI: 10.3233/JIFS-17275

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3597-3614, 2017

Authors: Ardekani, Leili Kamali | Davvaz, Bijan

Article Type: Research Article

Abstract: One of the problems in fuzzy group theory is concerned with classifying the fuzzy (normal) subgroups of a finite group. In this paper, we classify the fuzzy (normal) subgroups of D 2 p × ℤ q (p , q primes) and all finite groups of order n  ≤ 20, by using the natural equivalence relation. In this case, the corresponding equivalence classes of fuzzy (normal) subgroups of a group G are closely connected to the chains of (normal) subgroups in G . In fact, for determining the number of …these classes, we calculate the number of all chains of (normal) subgroups of G that terminate in G . Show more

Keywords: Fuzzy subgroup, chain of subgroups, level subgroups, dihedral group, dicyclic group

DOI: 10.3233/JIFS-17301

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3615-3627, 2017

Authors: Hu, Bao Qing

Article Type: Research Article

Abstract: Firstly, this paper is intended to point out the lack of mathematical rigor in logic operation definition of hesitant fuzzy sets and to revise these operations. Then, new logical operations and partially ordered relations are introduced on a linearly ordered set, whose properties are studied accordingly. Finally, the concepts of hesitant set and hesitant relation are given together with their operations and corresponding properties. It can be found that some existing concepts are special examples of hesitant sets, such as shadowed sets, hesitant fuzzy sets and interval-valued hesitant fuzzy sets etc.

Keywords: Posets, fuzzy sets, hesitant fuzzy sets, hesitant fuzzy relations

DOI: 10.3233/JIFS-17314

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3629-3640, 2017