Journal of Intelligent & Fuzzy Systems - Volume 37, issue 2

Authors: Ma, Jinshan

Article Type: Research Article

Abstract: A novel Gini-Simpson (G-S) index based generalised grey target decision method for mixed attributes is put forward. The proposed method improves the G-S index and adopts it as the mixed attribute-based target centre distance from the viewpoint of measuring the difference of alternative index and target centre index. The core of this algorithm is to obtain the ratio of each alternative index to the target centre index. And the ratio is regarded as the pseudo probability, as makes a bridge between the alternative index and the target centre index. This method first transforms all indices into binary connection numbers and …divides them into the deterministic terms and uncertain terms to constitute the two-tuple (determinacy, uncertainty) numbers. Then the target centre indices of two-tuple (determinacy, uncertainty) number are determined. Following this, the ratios of deterministic terms and uncertain terms of alternative indices to those of the target centre indices are calculated. Finally, the comprehensive weighted Gini-Simpson indices (CWGSIs) of all alternatives are obtained for decision-making with which the smaller value being the better. A case study illustrates the proposed approach. Show more

Keywords: Gini-Simpson index, generalised grey target decision method, mixed attributes, binary connection number

DOI: 10.3233/JIFS-182821

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2597-2608, 2019

Authors: Abbasi, Seyed Mohammad Mehdi | Jalali, Aliakbar

Article Type: Research Article

Abstract: This paper deals with uncertain linear systems called fully fuzzy linear systems (FFLSs) and dual FFLSs. The aim is to solve FFLSs and their duality. To get the purpose, a new approach based on the relative-distance-measure fuzzy interval arithmetic (RDM-FIA) is proposed. So far, many approaches based on fuzzy standard interval arithmetic (FSIA) have been suggested for solving FFLSs, and dual FFLSs. However, the suggested approaches suffer from some limitations, e.g. unnatural behavior in modeling (UBM) phenomenon. The limitations are regarded as either the sign of fuzzy numbers or the type of fuzzy numbers considered in systems. However, in this …paper, the proposed approach does not have the limitations. Using two theorems, the general form of solutions of FFLSs and dual FFLSs are presented. By a corollary it was demonstrated that a dual FFLS can be regarded as an FFLS. In addition, restrictions associated to the FSIA-based approaches dealing with the FFLSs and dual FFLSs were pointed out. Furthermore, the effectiveness and efficiency of the proposed approach are demonstrated using some comparative examples. Show more

Keywords: Horizontal membership functions, RDM arithmetic, UBM phenomenon, Granular difference, Multidimensional RDM fuzzy arithmetic, Fuzzy linear systems, Fuzzy Arithmetic, Granular Computing

DOI: 10.3233/JIFS-182837

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2609-2619, 2019

Authors: Yang, Yongwei | Zhu, Kuanyun

Article Type: Research Article

Abstract: The concept of pseudo MV-valuations is proposed in the paper, and some related characterizations of pseudo MV-valuations are investigated. The relationships between the pseudo MV-valuations of homomorphic and isomorphic MV-algebras and the relationships between their kernels are presented. We investigate several properties of pseudo MV-metrics induced by pseudo MV-valuations, and obtain that the product of two pseudo MV-metric spaces is a pseudo MV-metric space. Based on the introduced notion of pseudo continuous functions, we get that if a pseudo MV-valuation is contractive, then the binary operations on MV-algebras are pseudo continuous functions. Finally, we construct a congruence relation by using …a pseudo MV-valuation, and study some properties of pseudo MV-valuations on quotient MV-algebras. Show more

Keywords: MV-algebra, pseudo MV-valuation, pseudo MV-metric space, pseudo continuous function

DOI: 10.3233/JIFS-182844

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2621-2636, 2019

Authors: Yang, Bin

Article Type: Research Article

Abstract: As a technique for granular computing, rough sets deal with the vagueness and granularity in information systems. Covering-based rough sets are natural extensions of the classical rough sets by relaxing the partitions to coverings and have been applied in many fields. However, many vital issues in covering-based rough sets, including attribute reduction, are NP-hard and therefore the algorithms for addressing them are usually greedy. Hence, it is necessary and helpful to generalize the covering-based rough sets from different viewpoints. In this paper, a new type of covering-based rough sets, named parametric covering-based rough sets, are proposed and some properties and …applications of the parametric covering-based rough sets are investigated. First, a concept of inclusion degree is introduced into covering-based rough set theory to explore some properties of the parametric covering approximation space. Second, the parametric covering-based rough sets are established on the basis of inclusion degree. Moreover, some properties of the parametric covering-based rough sets are introduced. Third, it is found that the calculations of corresponding parametric covering-based lower and upper approximations can be converted into the operations of matrices, which makes the calculations convenient. Finally, a simple application of the parametric covering-based rough sets to network security is introduced. Show more

Keywords: Granular computing, Covering, Rough set, Neighborhood, Inclusion degree, Parametric covering-based rough sets, Network security

DOI: 10.3233/JIFS-182902

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2637-2650, 2019

Authors: Shi, Minghua | Yang, Feng | Xiao, Yuewen

Article Type: Research Article

Abstract: This paper investigates intuitionistic fuzzy information aggration problem with the interrelationship among the input values and the “singular point” (i.e. the input value was either too large or too small) which canot be solved by most existing aggregation operators. To accomplish this, this paper combines the geometric Heronian mean (GHM) operator with the power geometric (PG) operator under intuitionistic fuzzy environment. Then, the intuitionistic fuzzy power GHM (IFPGHM) operator and the weighted intuitionistic fuzzy power GHM (WIFPGHM) operator are presented. The new operators capture not only the correlations between the input arguments but also the relative closeness of decision making …information such that they can better solve the intuitionistic fuzzy information aggregation problem with diversified connections between arguments. The desirable properties of these new extensions of GHM operator and their special cases are investigated. Finally, based on the WIFPGHM operator, we present an approach to multiple attribute decision making and illustrate that approach with a practical example. Show more

Keywords: Intuitionistic fuzzy number, multiple attribute decision making, Geometric heronian mean operator, power geometric operator

DOI: 10.3233/JIFS-182903

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2651-2669, 2019

Authors: Mougouei, Davoud | Powers, David M.W. | Mougouei, Elahe

Article Type: Research Article

Abstract:  Resource limitations in software projects rarely allow for the security requirements to be fully realized. As such, Prioritization and Selection (PAS) techniques are used to find an optimal subset of the requirements. Consequently, some of the security requirements will be ignored. But ignoring security requirements may (a) leave some of the security threats unattended and (b) negatively impact the effectiveness of the selected requirements. To mitigate this, we have proposed a fuzzy framework, referred to as Prioritization And Partial Selection (PAPS), that reduces the number of ignored security requirements by allowing for partial satisfaction of those requirements. We …achieve this by relaxing the satisfaction conditions of security requirements, when tolerated, based on their priorities specified by a fuzzy inference system. Taking into account the partiality of security in PAPS mitigates the adverse impact of ignoring security requirements and enhances the accuracy of prioritization and selection. Our proposed framework is scalable to a large number of requirements. Show more

Keywords: Security, Requirements, Partial Selection, Fuzzy

DOI: 10.3233/JIFS-182907

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2671-2686, 2019

Authors: Shen, Chong | Chen, Fan-Hong | Shi, Fu-Gui

Article Type: Research Article

Abstract:  The main objective of this paper is to provide some characterizations of M -fuzzifying convex structures in terms of derived operators. We first introduce the notion of M -fuzzifying convexly derived operators, and then establish the one-to-one correspondence between M -fuzzifying convexly derived operators and M -fuzzifying convex structures. Additionally, it is proved that M -fuzzifying CP mappings can be expressed as formulas of derived sets. Finally, we introduce the notion of M -fuzzifying restricted convexly derived operators and prove that it is isomorphic to M -fuzzifying convex structures.

Keywords: M-fuzzifying convex structure, M-fuzzifying derived operator, M-fuzzifying convexly derived operator, M-fuzzifying restricted convexly derived operator, M-fuzzifying restricted hull operator

DOI: 10.3233/JIFS-182910

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2687-2696, 2019

Authors: Jemal, Hanen | Kechaou, Zied | Ben Ayed, Mounir

Article Type: Research Article

Abstract: The present study is intended to provide a practical Decision Support System framework, based on Multi Agent System (MAS) and Intuitionistic Fuzzy Logic (IFL), useful for implementation in the healthcare area. The major objective consists in enabling the implementing of the conceived incremental project design, dubbed “smart healthcare”, in public or private healthcare centers (hospitals, polyclinics, etc.) through mobile cloud computing technology. In this regard, the present work is conceived to involve a thorough investigation and discussion of the IFL efficiency scope, as integrated into MAS architecture, for the purpose of detecting the patient’s health status in Intensive Care Units …(ICUs). To this end, an implementation of the Intuitionistic Fuzzy Logic Decision Support System (IFLDSS), based on the Modified Early Warning Score (MEWS) standard, is carried out in the Tunisian Sfax city based ESSALEMA polyclinic. The proposed solution’s achieved results appears to reveal that the IFLDSS proves to display a commanding capacity in detecting uncertainty related to the ICU patients’ deteriorating cases. On comparing the IFL provided performance to that exhibited by the IFLDSS application, the findings appears to reveal well that the IFL MEWS appears to achieve remarkably higher accuracy scores than those provided by the MEWS standard. Show more

Keywords: Medical diagnostic decision, multi agent system, intuitionistic fuzzy logic decision support system, smart healthcare, intensive care unit, mobile cloud computing, accuracy

DOI: 10.3233/JIFS-182926

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2697-2712, 2019

Authors: Khan, Asghar | Izhar, Muhammad | Khalaf, Mohammad M.

Article Type: Research Article

Abstract: Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainty. In this work, new soft model, called the generalised multi-fuzzy bipolar soft model is proposed, and an algorithm based on this notion is presented. Some basic properties of this concept are studied and the related results are investigated. Finally, an application based on generalised multi-fuzzy soft sets in decision making is analyzed.

Keywords: Soft set, bipolar soft set, fuzzy soft set, multi-fuzzy set, generalised multi-fuzzy bipolar soft set, 03E72, 18B30, 54A40

DOI: 10.3233/JIFS-182928

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2713-2725, 2019

Authors: Fathy, E.

Article Type: Research Article

Abstract: This paper focuses on extending and applying a fuzzy approach for utilization with the fully fuzzy multi-objective and multi-level integer quadratic programming (FFMMQP) problems. First, the decomposition technique is used to convert the fuzzy problem for each level into three crisp multi-objective integer quadratic (MQP) problems namely, Middle-MQP, Upper-MQP and Lower-MQP problem. Each crisp problem has its own variables. Furthermore, the functions of each problem have several quadratic functions. Then by considering the individual solution of each objective function, the middle, upper and lower membership functions are constructed. Second, the concept of the tolerance membership function and multi-objective optimization in …the decomposition form is used to establish decomposed Tchebycheff problems to achieve the Pareto optimal fuzzy solution for the FFMMQP problems. An example is provided to prove the theoretical results. Show more

Keywords: Fully fuzzy programming, multi-level programming, multi-objective programming, quadratic programming, fuzzy approach

DOI: 10.3233/JIFS-182952

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2727-2739, 2019