Journal of Intelligent & Fuzzy Systems - Volume 29, issue 2

Authors: Niu, Meixia | Hao, Xiaoying | Wang, Zhudeng

Article Type: Research Article

Abstract: In this paper, we further study implications, coimplications and left (right) semi-uninorms on a complete lattice. We firstly show that the N -dual operation of the right (left) residual implication, which is generated by a left (right)-conjunctive right (left) infinitely ∨-distributive left (right) semi-uninorm, is the right (left) residual coimplication generated by its N -dual operation. As a dual result, the N -dual operation of the right (left) residual coimplication, which is generated by a left (right)-disjunctive right (left) infinitely ∧-distributive left (right) semi-uninorm, is the right (left) residual implication generated by its N -dual operation. Then, we demonstrate that …the N -dual operations of the left (right) semi-uninorms induced by an implication and a coimplication, which satisfy the neutrality principle, are the left (right) semi-uninorms. Finally, we reveal the relationships between conjunctive right (left) infinitely ∨-distributive left (right) semi-uninorms induced by implications and disjunctive right (left) infinitely ∧-distributive left (right) semi-uninorms induced by coimplications, where both implications and coimplications satisfy the neutrality principle. Show more

Keywords: Fuzzy connective, implication, coimplication, left (right) semi-uninorm, neutrality principle

DOI: 10.3233/IFS-151622

Citation: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 2, pp. 927-938, 2015

Authors: Long, Hoang Viet | Son, Nguyen Thi Kim | Tam, Ha Thi Thanh

Article Type: Research Article

Abstract: We combine two aspects, fuzzy mathematics and partial functional differential equations to get fuzzy partial hyperbolic functional differential equations in the sense of generalized Hukuhara-differentiability. In this setting, the global existence of four solutions, each one corresponding to a different type of differentiability, is investigated in the whole infinite domain [a , ∞) × [b , ∞).

Keywords: Partial hyperbolic functional differential equations, fuzzy solution, Banach fixed point theorem, contraction operator, the continuity of Zadeh’s extension, generalized Hukuhara derivatives

DOI: 10.3233/IFS-151623

Citation: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 2, pp. 939-954, 2015

Authors: Jelusic, Primoz

Article Type: Research Article

Abstract: The primary benefit of fuzzy systems theory is to approximate system behavior where analytic functions or numerical relations do not exist. In soil mechanics relationship between the causes and effects can be observed with laboratory tests but is difficult to develop analytical functions or numerical relations between input and output. In geotechnical optimization the most usual constraints represent state variables of structural response for each loading case. The aim of this paper is to define the soft constrain with adaptive network-based fuzzy inference system (ANFIS) in the soil mechanics. The developed soft constrain is than applied in non-linear programming (NLP) …to obtain optimal solution. In the case of soil compaction the performance of the proposed optimization algorithm is evaluated. The main aim of soil compaction is to define optimal water content at which soil can be compacted to a densest state that improve their mechanical and physical properties. Show more

Keywords: Soil compaction, fuzzy relation equations, adaptive network-based fuzzy inference system, non-linear programming

DOI: 10.3233/IFS-151624

Citation: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 2, pp. 955-962, 2015

Authors: Ebrahimnejad, Ali

Article Type: Research Article

Abstract: Transportation problems have wide applications in logistics and supply chain for reducing the cost. Effective algorithms have been proposed to solve the transportation problem in the case when all of the parameters, namely the supply, demand values and the unit transportation costs, are given in a precise way. However, in real applications, there are many diverse situations due to uncertainty. So, it is significant to investigate the transportation problem under uncertain environment. In this paper, a two-step method is proposed for solving fuzzy transportation problem (FTP) where all of the parameters are represented by non-negative triangular fuzzy numbers. The first …is to employ fuzzy arithmetic to convert FTP into a linear programming with fuzzy costs and crisp constraints. The second is to use a new decomposition technique to transform the resulting problem into three crisp bounded transportation problems. The advantages of the proposed method over the existing methods are discussed by an application example. The obtained results show that the method proposed in this study is simpler and computationally more efficient than some existing methods commonly used in the literature. Show more

Keywords: Fuzzy transportation problem, transportation simplex algorithm, triangular fuzzy numbers, computational complexity

DOI: 10.3233/IFS-151625

Citation: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 2, pp. 963-974, 2015

Authors: Monfared, Hesamoddin | Salmanpour, Soheila

Article Type: Research Article

Abstract: In this paper, a generalized intelligent water drops algorithm (IWD) for solving robot path planning problem is proposed. The authors want to reduce the time of reaching the optimal solution as much as possible. To do this, some new heuristic operators and a multi section graph model of environment is introduced. The authors divide graph to equal sections and compare behaviour of the solutions (paths) in each section with behaviour of them in other sections. This comparison uses a fuzzy inference system. Base on this comparison, a fuzzy number is assigned to each part of solutions. This fuzzy number determines …the worth of a solution in a section. Less worth solutions need more improvement. New heuristic operators are used in the sections that need more improvement. The runtime of algorithms are increased by using a memory for keep proper solutions and a global smooth operator that smooth the solutions. The authors used proposed memory to apply heuristic operations on proper solutions more than other one. This method helps to obtain more improvement in lower runtime. The authors introduce two intersection operators for robot path planning problem that apply to solutions in memory. Experimental results show that the proposed algorithms find the optimal solutions in fewer runtime rather than other works. Show more

Keywords: Robot path planning, fuzzy logic, intelligent water drops algorithm, optimization

DOI: 10.3233/IFS-151661

Citation: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 2, pp. 975-986, 2015