Journal of Intelligent & Fuzzy Systems - Volume 31, issue 1

Authors: Kadji, Albert | Tonga, Marcel

Article Type: Research Article

Abstract: In this paper, we introduce the notions of extended filter and n-fold strongly integral filter (resp., pseudo-residuated lattice). We give the characterizations of n-fold filters by a extended filter. We construct a new logical system of a pseudo-residuated logic. Afterwards, we show that the classes of n-fold strongly integral (resp., boolean, implicative, fantastic, involutive, strong) pseudo-residuated lattices are subvarieties of the variety of all pseudo-residuated lattices. Finally, we give logics which have the above varieties as models and the connections among them.

Keywords: Extended filter, n-fold strongly integral filter (resp., pseudo-residuated lattice), logic, n-fold pseudo-residuated logic

DOI: 10.3233/IFS-152070

Citation: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 1-12, 2016

Authors: Malinowski, Marek T.

Article Type: Research Article

Abstract: We study fuzzy stochastic differential equations driven by multidimensional Brownian motion with solutions of decreasing fuzziness. The drift and diffusion coefficients are random. Under a non-Lipschitz condition, the existence and pathwise uniqueness of solutions to such the equations are proven. The solutions are considered to be fuzzy stochastic processes. The main result is obtained with a help of a sequence of approximate solutions that converge to a desired unique local solution with trajectories having decreasing fuzziness. A parallel assertion for solutions to fuzzy stochastic differential equations of increasing fuzziness is stated as well. We indicate that our considerations of fuzzy …stochastic differential equations of decreasing fuzziness can be applied to examine non-Lipschitz set-valued stochastic differential equations with solutions being set-valued stochastic processes. Show more

Keywords: Fuzzy stochastic differential equation, fuzzy stochastic integral equation, fuzzy stochastic process, set-valued stochastic differential equation, set-valued stochastic integral equation, set-valued stochastic process, uncertainty

DOI: 10.3233/IFS-152102

Citation: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 13-25, 2016

Authors: Taassori, Mehdi | Niroomand, Sadegh | Uysal, Sener | Hadi-Vencheh, Abdollah | Vizvári, Béla

Article Type: Research Article

Abstract: Network on Chip (NoC) has been suggested as an appropriate and scalable solution for System on Chip (SoC) architectures having high communication demands. In this study, we propose heuristic fuzzy based mapping approaches to decrease the power consumption and improve the performance in the NoCs. The proposed method has two steps: core to task mapping and router reduction. In the mapping stage, two algorithms are proposed; first, proposed mapping algorithm maps the tasks to cores heuristically by means of Genetic and Simulated annealing algorithms, then tries to define a cost for each mapping and choose the lowest cost in order …to diminish the power dissipation in the NoCs. In the second mapping algorithm, fuzzy rules are applied to evaluate and select the best topology such that the power consumption is minimized. Fuzzy logic is used to make a better decision in terms of distance and bandwidth for tasks to cores mapping. In the second phase, since the optimum number of router resources has colossal effect on power dissipation in the NoCs, fuzzy approach is utilized to reduce the number of routers in the NoC architectures without any significant impact on the performance. To evaluate the proposed methods, we use five multimedia benchmarks. The experimental results show that heuristic and fuzzy logic methods improve the power consumption over the non-optimized NoC by up to 66% and 73%, respectively. Also, the proposed fuzzy mapping algorithm along with the router reduction method compared to the presented fuzzy without router reduction approach gives on an average, 73% energy reduction. Show more

Keywords: Fuzzy logic, heuristic mapping algorithm, network on chip, energy consumption

DOI: 10.3233/IFS-162105

Citation: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 27-43, 2016

Authors: Qiu, Dong | Dong, Rongwen | Lu, Chongxia | Mu, Chunlai

Article Type: Research Article

Abstract: In this paper, the stability theory for fuzzy differential equations in the quotient space of fuzzy numbers was essentially investigated with Lyapunov-like functions. Some sufficient criteria for the stability, uniformly stability and exponentially stability of the trivial solution of the fuzzy differential equations were obtained by using the differential inequalities and the comparison principle for Lyapunov-like functions.

Keywords: Fuzzy differential equations, fuzzy numbers, stability, quotient space

DOI: 10.3233/IFS-162115

Citation: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 45-54, 2016

Authors: Selvachandran, Ganeshsree | Maji, P.K. | Abed, Israa E. | Salleh, Abdul Razak

Article Type: Research Article

Abstract: In this paper, we propose the concept of complex vague soft sets which are vague soft sets defined in a complex setting. Based on this new concept we define some concepts related to this notion as well as some basic operations namely the complement, union, intersection, AND and OR. The basic properties and relevant laws pertaining to this concept such as the De Morgan’s laws are also verified. We introduce the axiomatic definition of the distance function between two complex vague soft sets and subsequently define several distance measures between complex vague soft sets. Finally some of the algebraic properties …of these distance measures are verified. Show more

Keywords: Complex vague soft set, complex fuzzy set, complex intuitionistic fuzzy set, vague soft set, fuzzy set

DOI: 10.3233/IFS-162116

Citation: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 55-68, 2016

Authors: Borzooei, Rajab Ali | Rashmanlou, Hossein | Samanta, Sovan | Pal, Madhumangal

Article Type: Research Article

Abstract: A vague graph is a generalized structure of a fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with systems that are designed using fuzzy graphs. In this paper, vague competition graph and m -step competition graphs related to a vague graph are introduced. Likewise, some interesting theorems on them, which are related to the independent strong edges of the vague competition graphs are investigated.

Keywords: Vague graphs, vague competition graphs, vague out-neighbourhood

DOI: 10.3233/IFS-162121

Citation: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 69-75, 2016

Authors: Baykasoğlu, Adil | Durmuşoğlu, Zeynep D.U.

Article Type: Research Article

Abstract: This paper introduces four different types of Generalized Travelling Salesman Problem (GTSP) which are actually dynamic variants of the well-known logistics problems. For all of these defined types, new cities are added to/deleted from the city domain during the travelling of the salesman. This city addition and deletion during the solution phase of the problem, differentiates the proposed types from the classical GTSP. Since these variants of GTSP are relatively complicated compared to classical forms, an agent-based strategy is proposed in this paper to handle complexity and dynamism. In this respect, proposed agent-based strategy employs a general manager and numerous …region agents to control and coordinate the dynamism in their regions and in the central level. Region agents create solutions just for their regions and thereby complexity of obtaining a central solution for each change containing is avoided. Findings of the proposed agent-based strategy confirm that adaptation ability of agent-based strategy against the dynamism is significantly better than classical central solution approach. In this respect, this paper is expected to be novel in two respects. First, those four types of GTSP defined in this paper, are different from the classical GTSP since they have dynamic city domain. Second, the proposed novel agent-based solution strategy is capable to create solutions in a timely manner. Show more

Keywords: Agent-based system, dynamic generalized traveling salesman problem, dynamic optimization problems

DOI: 10.3233/IFS-162122

Citation: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 77-90, 2016

Authors: Ji, Feng | Wu, Fan | Wang, Bangjun | Zhang, Ting

Article Type: Research Article

Abstract: Since 1990 s, the Internet as the representative’s information technology fast development, has provided richer innovation way and the innovation space for enterprises compared to formerly any time all. Many new pattern enterprises arise at the historic moment based on the Internet technology. They create and provide the value with the traditional enterprise completely different way to the customer, and obtained huge success that the traditional enterprise to be unable. Under such background, business model–this beginning be seen in the computer specialized glossary, starts to arouse the social widespread interest, and becomes one of the most popular glossaries in academic circles …in the worldwide scale in very short time. Now, the business model and the business model innovation in the global scope, brings to the unprecedented attention and the widespread application. Even so, some very important concepts and fundamental theories about the business model fundamental research, such as the concept of business model, the factors that influence the innovation of business model and so on, do not form the uniform conclusion which accepts generally in the theorists. All of that on objective, has formed certain adverse effect to the business model innovation practice, therefore, the fundamental research related to business model and the innovation of business model urgently awaits to strengthen. In this paper, we investigate the multiple attribute decision making with hesitant fuzzy information. Motivated by the induced Choquet ordered averaging operator (I-COA) operator and geometric mean, we develop the induced hesitant fuzzy Hamacher correlated geometric (IHFHCG) operator and then utilize IHFHCG operator to develop the model for multiple attribute decision making with hesitant fuzzy information. Finally, an illustrative example for evaluating the innovation ability of traditional enterprise’s business model for internet transition is given to verify the developed approach. Show more

Keywords: Multiple attribute decision making, hesitant fuzzy information, induced hesitant fuzzy Hamacher correlated geometric (IHFHCG) operator, induced Choquet ordered averaging operator (I-COA) operator, innovation ability of traditional enterprise’s business model

DOI: 10.3233/IFS-162123

Citation: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 91-97, 2016

Authors: El-Fouly, Fatma H. | Ramadan, Rabie A. | Mahmoud, Mohamed I. | Dessouky, Moawad I.

Article Type: Research Article

Abstract: Object tracking have become one of the major applications of Wireless Sensor Networks (WSNs) due to its wide real-life applications such as wildlife animal monitoring and military area intrusion detection. Many recent articles have been dedicated to localization of objects; however, few of these articles were concentrated on the reliability of network data reporting along with objects localization. In this work, an efficient data reporting method is proposed for object tracking in WSNs. Energy is considered as one of the most critical resources for WSN. Data transmission from the nodes to the sink along with the minimum energy path could …be one of the solutions to minimize the overall network energy consumption. However, this might lead to unbalanced energy among sensor nodes resulting in, energy hole problem. Moreover, the reliable data transmission is an essential aspect that should be considered when designing a WSN for object tracking application, where the loss of data packets will affect the accuracy of the tracking and location estimation of a mobile object. Furthermore, due to the limited memory resources of sensor nodes, full utilization of such resources with less buffer overflow remains as a one of main consideration when a WSN application is designed. Consequently, this paper aims to achieve both minimum energy consumption in reporting operation and balanced energy consumption among sensor nodes for WSN lifetime extension. In addition, data reliability is considered in our model where, the sensed data can reach the sink node in a more reliable way. Finally, buffer space is considered in to reduce the packet loss and energy consumption due to the retransmission of the same packets. This work first formulates the problem as 0/1 Integer Linear Programming (ILP) problem, and proposes SWARM intelligence to solve the optimization problem. Through simulation, the performance of proposed method to report information about the detected objects to the sink is compared with the previous work such as LR-based object tracking algorithm, EBRP, ACO, TADR, SEB, and CLR-Routing. Show more

Keywords: WSNs, object tracking, data reporting, SWARM intelligence, Ant Colony System (ACS), energy balancing, reliability

DOI: 10.3233/IFS-162124

Citation: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 99-113, 2016

Authors: Yang, Jie | Li, Deng-Feng | Lai, Li-Bang

Article Type: Research Article

Abstract: The aim of this paper is to develop a new methodology for solving bimatrix games with payoffs of triangular intuitionistic fuzzy numbers (TIFNs), which are called TIFN bimatrix games for short. In this methodology, we define the concepts of the value-index and ambiguity-index and hereby develop a difference-index based ranking method, which is proven to be a total order. The parameterized bilinear programming models are derived from a pair of auxiliary TIFN mathematical programming models, which are used to determine solutions of TIFN bimatrix games. Validity and applicability of the models and method proposed in this paper are illustrated with …a practical example. Show more

Keywords: Bimatrix games, triangular intuitionistic fuzzy numbers, ranking, bilinear programming, fuzzy set

DOI: 10.3233/IFS-162125

Citation: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 115-125, 2016