Journal of Intelligent & Fuzzy Systems - Volume 33, issue 6

Authors: Khan, Asghar | Farooq, Muhammad | Davvaz, Bijan

Article Type: Research Article

Abstract: Molodtsov soft set theory provides a general mathematical framework for dealing with uncertainty. The aim of this paper is to lay a foundation for providing a new soft algebraic tool in considering many problems that contain uncertainties. In order to provide these new soft algebraic structures, we introduce the notions of (M , N )-intersectional soft hyperideals and (M , N )-intersectional soft interior hyperideals of ordered semihypergroups. The concepts of (M , N )-intersectional soft hyperideals and (M , N )-intersectional soft interior hyperideals coincide in a regular as well as in intra-regular ordered semihypergroups. We introduce the notion …of (M , N )-intersectional soft simple ordered semihypergroups. Furthermore we characterize (M ,  N )-intersectional soft simple ordered semihypergroups by means of (M , N )-intersectional soft hyperideals and (M , N )-intersectional soft interior hyperideals. Show more

Keywords: Regular ordered semihypergroup, intra-regular ordered semihypergroup, (M, N)-intersectional soft hyperideal, (M,  N)-intersectional soft interior hyperideal, (M,  N)-intersectional soft simple ordered semihypergroup

DOI: 10.3233/JIFS-17728

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3895-3904, 2017

Authors: Khan, Vakeel A. | Yasmeen, | Esi, Ayhan | Fatima, Hira

Article Type: Research Article

Abstract:  In recent years, the Fuzzy theory has emerged as the most active area of research in many branches of mathematics and engineering. This new theory was introduced by L.A. Zadeh in 1965 and since then large number of research papers have been appeared by using the concept of Fuzzy set/numbers and fuzzification of many classical theories has also been made. The object of this paper is to define the intuitionistic Fuzzy I -convergent double sequence spaces   2 S ( μ , ν ) I ( T , f ) and …  2 S ( μ , ν ) 0 I ( T , f ) defined by Compact Operator and Modulus Function. We study some topological and algebraic properties of these spaces and discuss the Fuzzy topology on them. Show more

Keywords: Ideal, filter, I-convergence and I2-convergence in intuitionistic fuzzy normed spaces, bounded linear operator, compact linear operator, modulus function

DOI: 10.3233/JIFS-17741

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3905-3911, 2017

Authors: Zhi, Yuan | Zhou, Xiangnan | Li, Qingguo

Article Type: Research Article

Abstract: In this paper, we focus on the connections between rough sets and skew lattices. On the one hand, we study the special properties of the rough sets constructed by means of the congruences induced by ideals of skew lattices which are considered as a non-commutative generalization of classic lattices; On the other hand, the properties of the generalized rough sets with respect to ideals of skew lattices are investigated.

Keywords: Skew lattices, green’s relatons, sub-skew lattices, sublattices, s-ideals, ideals, conormal bidistributive, rough approximation operators

DOI: 10.3233/JIFS-17756

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3913-3928, 2017

Authors: Albayrak, Inci

Article Type: Research Article

Abstract: In this paper, Fully Fuzzy Linear Equation System (FFLS) that all parameters and variables are represented by triangular fuzzy numbers is discussed. FFLS has many important applications to branches of science, engineering and other disciplines. The objective of this paper is to find the feasible (strong) and approximate solution with a proposed method based on a mixed integer modeling of the nonsquare FFLS by removing all restrictions on the parameters and variables. The method is illustrated with numerical examples. Results of the numerical examples show that this method has the ability to generate a feasible (strong) and an approximate fuzzy …solution and also to indicate no solution case of a nonsquare or square FFLS. Show more

Keywords: Nonsquare fully fuzzy linear equation system, triangular fuzzy number, mixed integer programming

DOI: 10.3233/JIFS-17774

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3929-3938, 2017

Authors: Long, Xiqing | Zhu, Hua | Xu, Yang

Article Type: Research Article

Abstract: The concept of A-subset is introduced in lattice implication algebras. Firstly, the properties of the A-subset are discussed when A is a general set of lattice implication algebras. Next, the properties of A-subset are investigated when the A is an LI-ideal of lattice implication algebras. We obtain some properties of A-subset and prove that B(A)(the A-subset of B) is an LI-ideal in lattice implication algebras. Finally, the properties of A-subset are investigated in lattice implication product algebras. We prove that the A-subset of ∏ i = 1 n B i is …the product of A-subset of B i  (i  = 1,  2, ⋯ ,  n ) respectively ( ( ∏ i = 1 n B i ) ( ∏ i = 1 n A i ) = ( ∏ i = 1 n B i ( A i ) ) ) . Show more

Keywords: Lattice implication algebras, LI-ideal, A-subset, lattice implication product algebras

DOI: 10.3233/JIFS-17779

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3939-3947, 2017

Authors: Lin, Yuming | Jiang, Xiangxiang | Li, You | Zhang, Jingwei | Cai, Guoyong

Article Type: Research Article

Abstract: Online reviews play important roles in many Web Applications like e-business and government intelligence, since such user-generated-contents (UGC) contain rich user opinion. Opinion target and opinion word are a pair of core objects for user opinion expression in reviews. Extracting these two objects from reviews is crucial for the tasks of opinion mining. However, traditional extraction methods have various limitations such as ignoring the opinion relationship, the restriction of word span, the error propagation caused by iterative expansion, which would reduce the extraction performance. For the above deficiencies, we propose a supervised method based on the constrained word alignment model …to extract opinion target and opinion word collectively at first. To tackle the time-consuming and error-prone problem of manual annotation encountered by the supervised method, we further devise a semi-supervised extraction method based on active learning. In this method, we design the sample uncertainty -based sampling strategy and the feature evidence -based one to choose the most informative samples for labeling manually. At last, a series of experiments on a real-world dataset show that our approaches outperform several state-of-the-art baselines significantly. Show more

Keywords: Collective extraction, opinion target, opinion word, active learning, uncertainty measurement

DOI: 10.3233/JIFS-17781

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3949-3958, 2017

Authors: Tadić, Danijela | Đorđević, Aleksandar | Erić, Milan | Stefanović, Miladin | Nestić, Snežana

Article Type: Research Article

Abstract: The problem of assessment, selection and improvement of key performance indicators in the New Service Development process is one of the most important tasks of process managers, and it has a critical effect on the considered process effectiveness which is further propagated on the competitive advantage of each service small and medium enterprises. The relative importance of the introduced key performance indicators and their values are assessed by decision makers in selected enterprises (total of 187 persons). The assessment of decision makers are described by pre-defined linguistic expressions which are modelled by using fuzzy sets theory. Aggregated relative importance is …determined according to approach developed in this paper. The ranking and improvement of key performance indicators is stated as multi-criteria decision making problem that could be solved by the genetic algorithm. Priority of management initiatives that should lead to the improvement of selected key performance indicator is based on fuzzy if-then rules and single-objective genetic algorithm. In this way, more appropriate improvement strategy, which demands lower costs, may be defined. By applying the proposed model it is possible to identify weak points in organizations, to provide corrective measures, and to enhance the effectiveness of new service development process. The model presents a suitable solution for reengineering and improvement of the process performance. The application of this model could be introduced in other industrial branches. Show more

Keywords: Performance improvement, fuzzy data, genetic algorithm, fuzzy logics

DOI: 10.3233/JIFS-17802

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3959-3970, 2017

Authors: Khan, Muhammad Sajjad Ali | Abdullah, Saleem | Ali, Asad | Siddiqui, Nasir | Amin, Fazli

Article Type: Research Article

Abstract: Pythagorean fuzzy sets (PFSs), hesitant fuzzy sets (HFSs) and intuitionistic hesitant fuzzy sets (IHFSs) have attracted more and more scholars’ attention due to their powerfulness in expressing vagueness and uncertainty. Intuitionistic hesitant fuzzy set satisfies the condition that the sum of its membership’s degrees is less than or equal to one. However, there may be a situation where the decision maker may provide the degree of membership and nonmembership of a particular attribute in such a way that their sum is greater than 1. To overcome this shortcoming, in this paper we introduce the concept of Pythagorean hesitant fuzzy set …(PHFS) which is the generalization of intuitionistic hesitant fuzzy set under the restriction that the square sum of its membership degrees is less than or equal to 1. We discuss some properties of PHFS. We define score and accuracy degree of the Pythagorean hesitant fuzzy numbers (PHFNs) for comparison in Pythagorean hesitant fuzzy numbers. Also in decision making with PHFSs, aggregation operators play a very important role since they can be used to synthesize multidimensional evaluation values represented as Pythagorean hesitant fuzzy valued into collective values. We develop distance measure between PHFNs. Under PHFS environments, we develop aggregation operators namely, Pythagorean hesitant fuzzy weighted averaging (PHFWA), Pythagorean hesitant fuzzy weighted geometric (PHFWG). We develop the maximizing deviation method for solving MADM problems, in which the evaluation information provided by the decision maker is expressed in Pythagorean hesitant fuzzy numbers and the information about attribute weights is incomplete. The main advantage of these operators is that it is to provide more accurate and precious results. Furthermore, we developed these operators are applied to decision-making problems in which experts provide their preferences in the Pythagorean hesitant fuzzy environment to show the validity, practicality and effectiveness of the new approach. Show more

Keywords: Intuitionistic hesitant fuzzy set, Pythagorean hesitant fuzzy set, PHFWA operator, PHFWG operator, unknown weight information, group decision making

DOI: 10.3233/JIFS-17811

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3971-3985, 2017

Authors: Chen, Neiping | Qin, Bin

Article Type: Research Article

Abstract: A lattice-valued information system is an important model in the field of artificial intelligence and the notion of homomorphisms between lattice-valued information systems is a kind of tools to study data compression in a lattice-valued information system. This paper investigates invariant characterizations of information structures in a lattice-valued information system under homomorphisms based on data compression. Information structures in a lattice-valued information system is first proposed by using set vectors. Then, dependence and independence between information structures in the same lattice-valued information system is characterized by the inclusion degree. Finally, a complex massive lattice-valued information system can be compressed into …a relatively small-scale lattice-valued information system by means of homomorphisms and it is proved that some characterizations of information structures in a lattice-valued information system under homomorphisms based on data compression are invariant, that is, some of the same data structures are obtained. Show more

Keywords: Lattice-valued information system, granular computing, information granule, information structure, dependence, inclusion degree, characterization, homomorphism, data compression

DOI: 10.3233/JIFS-17838

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3987-3998, 2017

Authors: Kishore Kumar, P.K. | Lavanya, S. | Rashmanlou, Hossein | Jouybari, Mostafa Nouri

Article Type: Research Article

Abstract: Intuitionistic fuzzy graph is a highly growing research area dealing with real life applications. In this paper, we introduce the concept of interval valued intuitionistic fuzzy graph and define magic labeling of interval valued intuitionistic fuzzy graph. Here we discuss the significance of magic labeling in interval-valued intuitionistic fuzzy graphs. We also analyse some of its properties and some structures and implement it into the operations of interval-valued intuitionistic fuzzy magic labeling graph. We have also investigated about some bounds over the size and shape of the interval-valued intuitionistic fuzzy graphs based on ε -neighborhood and confine the membership values …of the vertices and edges of it. Show more

Keywords: Interval valued intuionistic fuzzy graph(IVIFG), magic labeling of interval valued intuitionistic fuzzy graph

DOI: 10.3233/JIFS-17847

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3999-4006, 2017