Journal of Intelligent & Fuzzy Systems - Volume 30, issue 1

Authors: Zhu, Kuanyun | Zhan, Jianming

Article Type: Research Article

Abstract: Soft set theory was first proposed by Molodtsov in 1999 as a general mathematical tool for dealing with uncertainties. In this paper, we introduce the notion of soft Z -congruence relations and investigate several related properties. Furthermore, we obtain a one-to-one correspondence between soft Z -congruence relations and strong h -idealistic soft hemirings and a one-to-one correspondence between soft Z -congruence relations and soft strong h -ideals. Moreover, we show that the relationships between fuzzy congruence relations and soft congruence relations. Finally, we show that soft homomorphisms of soft hemirings and establish homomorphism theorems for soft hemirings by using soft …Z -congruence relations. Show more

Keywords: Soft Z-congruence, strong h-idealistic soft hemiring, soft strong-h-ideal, soft homomorphism

DOI: 10.3233/IFS-151771

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 467-474, 2016

Authors: Zhan, Jianming | Davvaz, Bijan

Article Type: Research Article

Abstract: The aim of this paper is to lay a foundation for providing a rough soft tool in considering many problems that contain uncertainties. We put forward the concepts of rough soft rings and rough idealistic soft rings. Some basic operations on rough soft rings are discussed. Some good examples are explored. Special attention is paid to rough prime idealistic soft rings. Finally, we investigate some properties of products and sums of rough soft rings.

Keywords: Rough soft set, rough soft ring, congruence, Pawlak approximation space, rough prime idealistic soft ring

DOI: 10.3233/IFS-151772

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 475-483, 2016

Authors: Nasab, Ali Soleimani | Saeid, Arsham Borumand

Article Type: Research Article

Abstract: In this paper, we first introduce the notion of Stonean implicative filter in Hilbert algebra and study it in detail. Finally, we introduce a Stonean Hilbert algebra and investigate its properties, we prove that, H is a Stonean Hilbert algebra if and only if the set of all regular elements of H is a Stonean Hilbert algebra. By the diagrams, we summarize the results of this paper and give the relationships between all types of filters in a Hilbert algebra. Also, we give the relationships between Hilbert algebra and some of algebraic structures.

Keywords: Hilbert algebra (with supremum), Stonean Hilbert algebra, Stonean implicative filter

DOI: 10.3233/IFS-151773

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 485-492, 2016

Authors: Xiao, Lei | Liu, Lianzhen

Article Type: Research Article

Abstract: Recently, the notions of EIMTL-filters, associative filters, t -filters and I -filters were introduced in MTL-algebras and residuated lattices, respectively. In this paper, we consider these filters in residuated lattices and study some properties of them. We prove that t -filters and I -filters coincide in residuated lattices. The conditions under which an EIMTL-filter is a t -filter, and under which a residuated lattice has a proper associative filter are established. We also study the existence of a proper EIMTL-filter and prove that every maximal filter is an EIMTL-filter, and hence all residuated lattices have proper EIMTL-filters.

Keywords: Residuated lattice, EIMTL-filter, associative filter, t-filter

DOI: 10.3233/IFS-151774

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 493-500, 2016

Authors: Jabbari, Masoud | Niknam, Taher | Baziar, Aliasghar | Farzadian, Ali | Zare, Alireza

Article Type: Research Article

Abstract: This article proposes a novel stochastic framework based on point estimate method (PEM) and firefly algorithm (FA) for the optimal operation of plug-in electric vehicles (PVs) in the distribution systems. The stochastic problem will consider the uncertainties of active and reactive loads, the number of PVs in the fleets and the departure and arrival time at charging locations. According to the high complexity and severity of the problem, a new version of FA called θ -FA is used to search the solutions in the polar space instead of the traditional Cartesian space. The objective function is to minimize the total …cost of the system considering the operation and security constraints. The feasibility and high performance of the propose problem are examined on a standard IEEE test system. Show more

Keywords: Approximation method, electric vehicle, stochastic analysis, evolutionary algorithm

DOI: 10.3233/IFS-151775

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 501-508, 2016

Authors: Xu, Feng | Lin, Shao-Pei

Article Type: Research Article

Abstract: Management issue incorporates a huge amount of fuzzy information processing, that is exactly representing the essentials of human intelligence in reasoning for managing problems. This paper distinguishes the qualitative (empirical) management versus the quantitative (digital) management and focuses the studies of the latter one and verifies the possibility and necessity of adopting quantitative project management in many real world problems. The theoretical arguments of “Fuzzy-AI model” are presented for dealing with the quantization of uncertain management events, which simulates the intelligence of human being by AI (Artificial Intelligence) technology and quantizes the management solution by fuzzy approach. Several practical examples …are presented in this paper as the evidence of the applicability of this model in the project management issues, which provides digital support to decision maker in the management. Finally, the theoretical framework of applying this model in different stages of project management is presented for the purpose of calibrating its application scope. Show more

Keywords: Fuzzy-AI Model, quantitative management, project management, theoretical framework, performance matrix

DOI: 10.3233/IFS-151776

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 509-521, 2016

Authors: Xie, Bin | Li, Lei-jun | Mi, Ju-sheng

Article Type: Research Article

Abstract: In decision making analysis, ranking decision with anti-noise capability is a very desirable issue. This paper focuses on analysing data in interval-valued information systems. A new approach ranking with weighted standardized cardinality (WSC) and inclusion indicator in interval-valued information systems is proposed. It is a novel generalization of ranking method based on dominance classes. The new approach overcomes the drawback of sensitivity to noise for raking using dominance classes-based method. In this paper, each object with all attribute values is regarded as an interval-valued fuzzy set (IVF-set). By defining WSC with controlling parameters and single interval inclusion indicator, two kinds …of inclusion indicators of the IVF-set are constructed. The approach is based on the novel idea of raking with WSC and inclusion indicator rather than dominance classes. Experiments verify that the new approach is noise-resistant. Show more

Keywords: Interval-valued information systems, ranking decision, weighted standardized cardinality, inclusion indicator

DOI: 10.3233/IFS-151777

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 523-534, 2016

Authors: Dubey, Dipti | Mehra, Aparna

Article Type: Research Article

Abstract: The aim of this paper is twofold. Firstly, to define a solution concept of Pareto-optimality for a multi-objective flexible linear programming (MOFLP) problem (or multi-objective fuzzy linear programming problem) and design a method to extract a Pareto-optimal solution of MOFLP problem from the set of optimal solutions of equivalent optimization problem formulated by Dubey and Mehra (2013). Secondly, to extend this study to multi-objective linear programming problem involving hard and flexible constraints with interval uncertainty. A flexible constraint with interval uncertainty generalizes a flexible constraint by allowing preferences to be expressed in the form of intervals. An optimistic-pessimistic approach is …proposed to solve multi-objective flexible linear programming with interval uncertainty (MOFLPIU) using an interval-valued fuzzy set representation and the Hurwicz optimism-pessimism criterion. Show more

Keywords: Fuzzy mathematical programming, flexible constraints, flexible constraint with interval uncertainty, aggregation operator, Pareto-optimal solution

DOI: 10.3233/IFS-151778

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 535-546, 2016

Authors: Zhao, Chihang | Zhang, Yunsheng | Zhang, Xiaozheng | He, Jie

Article Type: Research Article

Abstract: To develop the human-centric driver fatigue monitoring system for automatic understanding and charactering of driver’s conditions, a novel, efficient feature extraction approach, named Local Multiresolution Derivative Pattern (LMDP), is proposed to describe the driver’s fatigue expression images, and the Intersection Kernel Support Vector Machines classifier is then exploited to recognize three pre-defined classes of fatigue expressions, i.e., awake expressions, moderate fatigue expressions and severe fatigue expressions. With features extracted from a fatigue expressions dataset created at Southeast University, the holdout and cross-validation experiments on fatigue expressions classification are conducted by the Intersection Kernel Support Vector Machines classifier, compared with three …commonly used classification methods including the k -nearest neighbor classifier, the multilayer perception classifier and the dissimilarity-based classifier. The experimental results of holdout and cross-validation showed that LMDP offers the better performance than Local Derivative Pattern, and the second order LMDP exceeds other order LMDP. With the second order LMDP and the Intersection Kernel Support Vector Machines classifier, the classification accuracies of the severe fatigue are over 90% in the holdout and cross-validation experiments, thus demonstrating the effectiveness of the proposed feature extraction method in automatically understanding the driver’s conditions towards the human-centric driver fatigue monitoring system. Show more

Keywords: Fatigue expression, feature extraction, Local Multiresolution Derivative Pattern (LMDP), Local Derivative Pattern (LDP), Human-centric Driver Fatigue Monitoring System (DFMS)

DOI: 10.3233/IFS-151779

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 547-560, 2016

Authors: Pal, Madhumangal

Article Type: Research Article

Abstract: Fuzzy matrices (FMs) play important role to model several uncertain systems. In FMs, it is assumed that the rows and columns are certain. But, in many real life situations it is seen that they are also uncertain. So to model these types of uncertain problems, new type of FMs are introduced called fuzzy matrices with fuzzy rows and columns (FMFRCs). For these matrices, null, identity, equality, etc. are defined along with four binary operators ∨, ∧, ⊖ and ⊕. Two types of complements and density of FMFRC are defined and investigated several important properties. An application of FMFRC in image …representation is also given. Show more

Keywords: Fuzzy matrix, fuzzy rows and columns, complement of fuzzy matrices, density of fuzzy matrices

DOI: 10.3233/IFS-151780

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 561-573, 2016