Journal of Intelligent & Fuzzy Systems - Volume 32, issue 1

Authors: Kellil, Rabah

Article Type: Research Article

Abstract: Starting from the study of the papers [1, 3, 4, 5, 13, 14 ], we have seen that we can change some concepts and give some new definitions on fuzzy algebraic structures. Our goal by introducing these definitions is to get the classical and well known ones when the fuzzy set is just the characteristic function. As a second purpose we were tempted to generalize as long as it is possible some results known in the classical set theory. We get many interesting results which concern fuzzy relations, fuzzy subgroups of a given group, fuzzy ideals of a ring. We …also define ideal generated by an element in the commutative case, prime and maximal ideals. Some relationships have been made and many other still open and which will be of our interest in next studies. Show more

Keywords: Fuzzy sets, fuzzy subgroup, fuzzy operation, fuzzy equivalence relation, fuzzy ideal, fuzzy prime ideal, fuzzy maximal ideal

DOI: 10.3233/JIFS-152523

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 579-587, 2017

Authors: Shirgahi, Hossein | Mohsenzadeh, Mehran | Haj Seyyed Javadi, Hamid

Article Type: Research Article

Abstract: With the development of network infrastructures and the Internet, using web services to access and process information in distributed form apart from the different hardware and software platforms using standard protocols, Internet data exchange is expanded. By using web services, distributed applications simply exchange data, or do things by working together. In web-based applications, trust is one of the criteria for selecting the appropriate web service and also web service criteria are often qualitative. Because of the importance of this issue, we used fuzzy system in this article to assess the trust of single web services. To assess the trust …of web services, eight parameters includes QoS, user preferences, subjective calculation of trust, objective calculation of trust, bootstrapping, dynamics of trust and independent trust have been considered in proposed fuzzy system. To obtain a fuzzy system with high estimation accuracy, we considered 24 different fuzzy systems with different fuzzy sets and deffuzication methods and then we created fuzzy sets and fuzzy rules based on training data. To increase the speed and to reduce the number of fuzzy rules, we have considered the fuzzy systems as three-level. Finally, after running fuzzy systems with test data, between these systems, we received the following results: best fuzzy system achieves root mean square error 2.27 percent, the accuracy value 0.9816 and the FScore value 0.9838 and recalls value 0.9860. Show more

Keywords: Trust, web services, fuzzy system, web applications

DOI: 10.3233/JIFS-152526

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 589-611, 2017

Authors: Leiva, Luis A. | Alabau, Vicent

Article Type: Research Article

Abstract: Machine Translation (MT) requires a large amount of linguistic resources, which leads current MT systems to leaving unknown words untranslated. This can be annoying for end users, as they might not understand at all such untranslated words. However, most language families share a common vocabulary, therefore this knowledge can be leveraged to produce more understandable translations, typically for “assimilation” or gisting use. Based on this observation, we propose a method that constructs polyglot translations tailored to a particular user language. Simply put, an unknown word is translated into a set of languages that relate to the user’s language, and the …translated word that is closest to the user’s language is used as a replacement of the unknown word. Experimental results on language coverage over three language families indicate that our method may improve the usefulness of MT systems. As confirmed by a subsequent human evaluation, polyglot translations look indeed familiar to the users, and are perceived to be easier to read and understand than translations in their related natural languages. Show more

Keywords: Minority languages, machine translation, linguistic coverage, vocabulary, human factors

DOI: 10.3233/JIFS-152533

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 613-627, 2017

Authors: Song, AiMin

Article Type: Research Article

Abstract: In this paper, we defined the matrix intuitionistic fuzzy normed spaces, and proved the Ulam stability of functional equation deriving from quartic and cubic functionsf  (2x  + y ) + f  (2x  - y ) =3f  (x  + y ) + f  (- x  - y ) +3f  (x  - y ) + f  (y  - x ) +18f  (x ) +6f  (- x ) -3f  (y ) -3f  (- y ) by fixed point alternative method.

Keywords: Matrix intuitionistic fuzzy normed spaces, functional equation deriving from quartic and cubic functions, Ulam stability, fixed point alternative method

DOI: 10.3233/JIFS-152540

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 629-641, 2017

Authors: Zhao, Zhiyao | Quan, Quan | Cai, Kai-Yuan

Article Type: Research Article

Abstract: In the field of system health monitoring, system performance degradation or fault occurrence will decrease the system reliability to some degree. However, traditional reliability analysis is of limited usefulness in evaluating the reliability of an individual product under dynamic operating and environmental conditions. In this case, research on performance reliability as well as real-time reliability has attracted extensive attentions. Considering the characteristics of fuzzy reliability theory, a performance reliability based on profust reliability theory has its advantage on tracking system’s continuous degradation. On the basis of our previous work, this paper proposes a modified profust-performance-reliability (PPR) algorithm as a supplement …to the profust reliability based approach to prognostics and health management. In the modified PPR algorithm, the item of transition probability among system’s multi-states is replaced with the real-time distribution of system’s health status, which achieves an easier implementation of PPR’s calculation in practice with higher real-time capability and accuracy. Then, its application in the performance evaluation and prediction of dynamic systems are comprehensively proposed. Finally, a simulation of a quadrotor with partial loss of actuator effectiveness is presented to validate the availability and effectiveness of the proposed method. Show more

Keywords: Profust reliability, performance reliability, system degradation, health monitoring, quadrotor

DOI: 10.3233/JIFS-152544

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 643-660, 2017

Authors: Sivaranjani, P. | Senthil Kumar, A.

Article Type: Research Article

Abstract: Floorplanning is the initial step in the process of designing layout of the chip. It is employed to plan the positions and shapes of modules during the process of VLSI Design cycle to optimize the cost metrics like layout area and wirelength. In this paper, a Hybrid Particle Swarm Optimization-Firefly (HPSOFF) algorithm is proposed which integrates Particle Swarm Optimization (PSO), Firefly (FF) and Modified Corner List (MCL) algorithms. Initially, PSO algorithm utilizes MCL algorithm for non-slicing floorplan representations and fitness value evaluation. The solutions obtained from PSO are provided as initial solutions to FF algorithm. Fitness function evaluation and floorplan …representations for FF algorithm are again carried out using MCL algorithm. The proposed algorithm is illustrated using Microelectronics Centre of North Carolina (MCNC) and Gigascale Systems Research Centre (GSRC) benchmark circuits. The results obtained are compared with the solutions derived from other stochastic algorithms and the proposed algorithm provides better solutions for both the benchmark circuits. Show more

Keywords: VLSI floorplanning, Particle Swarm Optimization algorithm, Firefly algorithm, Modified Corner List (MCL) algorithm, Hybrid Particle Swarm Optimization-Firefly algorithm (HPSOFF), non-slicing floorplan

DOI: 10.3233/JIFS-152551

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 661-669, 2017

Authors: Shen, Yonghong | Chen, Wei | Wang, Jing

Article Type: Research Article

Abstract: In the present paper, the notion of fuzzy multiplication-convolution is introduced. Meantime, an important property is derived, which is similar to the Laplace transform of an ordinary convolution. By using the fuzzy Laplace transform and the preceding property, this paper deals with the Ulam stability of three variants of first order linear fuzzy differential equations with constant coefficients.

Keywords: Fuzzy Laplace transform, fuzzy multiplication-convolution, Ulam stability, linear fuzzy differential equation, generalized differentiability

DOI: 10.3233/JIFS-152567

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 671-680, 2017

Authors: Ma, Zhen Ming | Yang, Wei | Liu, Zhi Qiang

Article Type: Research Article

Abstract: Filter theory plays a vital role in studying fuzzy logical systems and their algebraic structures. Various types of filters have been extensively investigated in the literature. In this paper, several types of filters related to the Stonean axiom in residuated lattices are introduced such as Stonean filters, subimplicative filters, De Morgan filters, RDP-filters and (weak) subimplicative-Stonean filters, the relationships between them and some existing types of filters are obtained. Particularly, it is shown that a filter is a weak subimplicative-Stonean filter if and only if subimplicative filter coincides with Stonean filter. By these filters, the Stonean axiom and its alternative …definitions in an arbitrary residuated lattice are investigated. In particular, it is proved that Stonean axiom and subimplicative axiom coincide when the residuated lattice is subimplicative-Stonean, specially, De Morgan or RDP. Show more

Keywords: Non-classical logics, residuated lattice, Stonean filter, subimplicative filter, De Morgan filter, RDP-filter, (weak) subimplicative-Stonean filter

DOI: 10.3233/JIFS-152610

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 681-690, 2017

Authors: Lin, Yang | Wang, Ying-Ming | Chen, Sheng-Qun

Article Type: Research Article

Abstract: Hesitant multiplicative preference relation (HMPR) is a straightforward and efficient tool for representing hesitant fuzzy information in decision making. The aim of this paper is to develop a method to obtain priority vectors from HMPRs in the context of multistage decision-making (MSDM). To start the investigation, a simple linear programming model motivated by the idea of orness is purposed to calculate the relative weights of different stages. Based on these obtained weights, we develop a least square deviation method as well as a convergent iterative algorithm for prioritizing and ranking the MSDM- HMPR problems. The prominent property of this method …is then studied. Finally, a practical example concerning the selection of logistics service providers is given to illustrate the feasibility and applicability of the proposed approach. Show more

Keywords: Hesitant fuzzy set, hesitant multiplicative preference relation, multistage decision making, priority ranking, least square deviation method

DOI: 10.3233/JIFS-152630

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 691-701, 2017

Authors: Dai, Jianhua | Zheng, Guojie | Han, Huifeng | Hu, Qinghua | Zheng, Nenggan | Liu, Jun | Zhang, Qilai

Article Type: Research Article

Abstract: Interval-valued data exist in many practical situations, due to various factors such as random error, incompletion or inaccuracy. In rough set theory, interval-valued decision systems can be viewed as generalized models of single-valued decision systems. In this paper, from the viewpoint of interval variable, we propose a new dominance relation based on probability distribution. Consequently, dominance-based rough set model for interval-valued ordered decision systems is constructed with the proposed dominance relation. Moreover, the proposed model examines attribute reduction in interval-valued ordered decision systems.

Keywords: Interval-valued ordered decision systems, fuzzy rough set model, dominance, probability distribution, degree of preference, attribute reduction

DOI: 10.3233/JIFS-152640

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 703-710, 2017