Journal of Intelligent & Fuzzy Systems - Volume 30, issue 2

Authors: Zahiri, Saeide | Borumand Saeid, Arsham | Eslami, Esfandiar

Article Type: Research Article

Abstract: In this paper, we define two types of maximal filters in triangle algebras. The concepts of the radical of a triangle algebra and radical of an interval valued residuated lattice-filter (IVRL-filter) in triangle algebras are introduced. Some characterizations of the radical of an IVRL-filter are given. The notion of IVRL-extended semi maximal filter in triangle algebras also introduced. We investigate the relations between this notion and other types of IVRL-filters in triangle algebras. Special elements such as dense elements and double complemented elements in triangle algebras are defined. Properties of the collections of these elements as well as properties of …IVRL-filters in triangle algebras are studies. Show more

Keywords: Triangle algebra, IVRL-filter, maximal, radical, dense element, double complemented element

DOI: 10.3233/IFS-151842

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1181-1193, 2016

Authors: Sadeqi, Ildar | Azari, Farnaz Yaqub

Article Type: Research Article

Abstract: In this paper, a comparative study of two types of norms on a linear space, namely gradual norm and fuzzy norm has been made and it is shown that they are equivalent in general. Because a gradual normed linear space is a locally convex space so a fuzzy normed linear space is also a locally convex space in classical sense. Therefore, most of results in classical locally convex spaces do hold in fuzzy normed linear spaces.

Keywords: Gradual number, gradual norm, fuzzy interval, fuzzy norm, locally convex space

DOI: 10.3233/IFS-151843

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1195-1198, 2016

Authors: Ren, Tao | Wang, Yi-fan | Liu, Miao-miao | Li, Cai-juan | Liu, Yi-yang

Article Type: Research Article

Abstract: In this paper, for nonlinear multi-agent systems under switching topologies with communication failure, the leader-following consensus problem is studied. Firstly, several switching topologies including a null graph are considered. Secondly, the novel consensus protocols for followers are given considering the communication failure (null graph). Then the convergence analysis is presented and some sufficient conditions are derived for the consensus tracking in a leader-followers multi-agent network. The analysis tools developed in this paper are based on matrix theory and control theory. Finally, the simulations show that by the proposed theorem, the consensus can be achieved and the control gain can influence …the speed of the consensus. Show more

Keywords: Multi-agent systems, communication failure, consensus, switching topologies

DOI: 10.3233/IFS-151844

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1199-1206, 2016

Authors: Hassasi, Hamid | Tohidi, Ghasem

Article Type: Research Article

Abstract: In this paper we restrict our attention to formulating and solving a tri-criterion nonlinear combinatorial problem on a network with crisp arc costs, fuzzy arc times, and a fuzzy goal on the total traversing time. Here, arc times are discrete fuzzy sets and the goal is a trapezoidal number. We called it the tri-criteria best path problem. The main contribution of this model is an actual interpretation of the given fuzzy time goal, as the quality of delivered commodities. Since the presented problem has a fuzzy structure, one of the fuzzy decision making criteria, i.e. Bellman and Zadeh’s max-min criterion, …can be used to treat it as a single-criterion nonlinear programming problem. Then, the special structure of the model enables us to reformulate this problem as a mixed integer linear programming problem. However, this linearization process increases the size of the problem. To reduce the size of it, a relaxation strategy, instead of the exploitation of well-known methods, can be employed in solving such problems. Correspondingly, a new algorithm named “the best shipping pattern algorithm” is proposed to get the best path. An illustrative example is solved, to explain the presented details. Show more

Keywords: The tri-criteria best path problem, discrete fuzzy set, fuzzy decision-making, Bellman-Zadeh’s criterion, relaxation strategy

DOI: 10.3233/IFS-151845

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1207-1217, 2016

Authors: Rajesh Kumar, K. | Mahendran, N.

Article Type: Research Article

Abstract: An Experimental investigation was carried out to study the structural behaviour of deep beams using self-compacting concrete (SCC) with glass chopped strands (CS) in 0.06% and polypropylene fibre (PP) in different level of dosage. The SCC mix design was performed for 30 Mpa of Characteristics strength as per Nan-Su method. The SCC Mixes were prepared with Class F fly ash partially replacing cement by 40% . In addition with 0.06% of CS + SCC (CSSCC) in Combination with varying dosage of polypropylene fibre (CS+PP+ SCC), 0.1 (CSPSCC1), 0.2(CSPSCC2) and 0.3% (CSPSCC3) of volume of concrete were prepared. The effect of addition …of hybrid fibre on the workability of SCC, CSSCC, CSPSCC1, CSPSCC2 and CSPSCC3 were studied. For the above mentioned mixes the Auxiliary specimens like cubes, cylinders and Prisms were casted and tested for Compression, Splitting Tension and Flexural strength respectively. A set of two Deep beams of size (1000×500×100 mm) were casted for each category of SCC mixes. The deep beams has been investigated for a structural behaviours like load deflection, web strains, energy absorption, toughness and crack width. From the study it has been inferred that addition of hybrid fibres to SCC mixes render beneficial both economical and Technical. Show more

Keywords: SCC, HF, hybrid, CSSCC, CSPSCC, deep beam, class F fly ash

DOI: 10.3233/IFS-151847

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1219-1229, 2016

Authors: Xu, Fei | Xing, Zhi-Yong | Yin, Hai-Dong

Article Type: Research Article

Abstract: The definition of interval-valued intuitionistic fuzzy (IVIF for short) rough sets is introduced and relative properties are developed. Furthermore, given different threshold values, we discuss the knowledge reduction of IVIF information systems by using the discernibility matrix based on the positive region of decision attributes with regard to some condition attributes set. Finally, the IVIF variable threshold concept lattice and one-sided IVIF concept lattice associated with IVIF formal contexts are given and various methods of construction of these concepts are discussed.

Keywords: Interval-valued intuitionistic fuzzy rough set, knowledge reduction, interval-valued intuitionistic fuzzy formal context, variable threshold interval-valued intuitionistic fuzzy formal concept lattice, rough set

DOI: 10.3233/IFS-151848

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1231-1242, 2016

Authors: Baten, Md. Azizul | Khalid, Ruzelan

Article Type: Research Article

Abstract: We study an inventory system with linear time varying exponential distributed deterioration in which production and demand rates are constant. The mathematical model is developed to obtain the total cost per unit time of an inventory system. The inventory controlling systems in terms of first order differential equations are solved numerically. The optimal cycle time is derived and the results are applied to numerical problems. The effect of changes in the model parameters on decision variables and the average total cost of an inventory system are studied through numerical examples.

Keywords: Inventory-production model, exponential distribution, linear time dependent deterioration, constant demand, performance measure

DOI: 10.3233/IFS-151850

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1243-1248, 2016

Authors: Ma, Yuefei | Wu, Xiaoyue

Article Type: Research Article

Abstract: This paper proposes a new approach for deriving fuzzy global priorities in fuzzy analytic network process. Due to the convergence problem in taking the limit of the fuzzy supermatrix, it is relatively difficult to generate fuzzy global priorities from fuzzy analytic network process. The presented methodology solves the convergence problem by producing a normalized fuzzy supermatrix and raising it to the limiting power based on a linear goal programming model. Consequently, the fuzzy global priorities can be extracted from the fuzzy limiting supermatrix, whose fuzzy column vectors are normalized and identical. The approach is applicable for triangular, interval and trapezoidal …fuzzy cases. Finally, two examples are given. One illustrates the effectiveness of the proposed approach and the other demonstrates the use of the obtained fuzzy global priorities in reflecting the uncertainty of the order caused by fuzzy judgments of the expert. Show more

Keywords: Fuzzy analytic network process (FANP), supermatrix, global priorities, decision making

DOI: 10.3233/IFS-151888

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1249-1261, 2016