Journal of Intelligent & Fuzzy Systems - Volume 39, issue 3

Authors: Liu, Donghai | Liu, Yuanyuan | Wang, Lizhen

Article Type: Research Article

Abstract: The linguistic q-rung orthopair fuzzy set is a powerful tool in representing linguistic assessments. Considering that the traditional decision making methods cannot deal with the situation that the best choice may not be the minimum or the maximum but between them, we propose an innovative TOPSIS method with linguistic q-rung orthopair fuzzy numbers based on the reference ideal theory. Firstly, the new operations of linguistic q-rung orthopair fuzzy sets are introduced based on the linguistic scale function. In addition, we propose the Minkowski distance measure of linguistic q-rung orthopair fuzzy numbers to make up for the defects of the existing …distance measures based on the linguistic scale function. By using the new operations of linguistic q-rung orthopair fuzzy numbers, we propose the linguistic q-rung orthopair fuzzy weighted averaging operator and the linguistic q-rung orthopair fuzzy weighted geometric operator to aggregate linguistic decision information. Furthermore, we develop a reference ideal TOPSIS method to the linguistic q-rung orthopair fuzzy decision making problems. Finally, an example concerning the postgraduate entrance qualification assessment is given to illustrate the feasibility of the proposed method. Some comparative analysis is also given to show the efficiency of the method, in addition, the sensitivity analysis and stability analysis of the proposed method are also given. Show more

Keywords: Linguistic q-rung orthopair fuzzy numbers, linguistic scale function, distance measure, reference ideal method, TOPSIS method

DOI: 10.3233/JIFS-200244

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 4111-4131, 2020

Authors: Samanlioglu, Funda | Ayağ, Zeki

Article Type: Research Article

Abstract: In this study, a hybrid approach is presented for the evaluation and selection of transformers in a power distribution project. Ranking transformers and selecting the best among alternatives is a complex multiple criteria decision making (MCDM) problem with various possibly conflicting quantitative and qualitative criteria. In this research, two hesitant fuzzy MCDM methods; hesitant fuzzy Analytic Hierarchy Process (hesitant F-AHP) and hesitant fuzzy Preference Ranking Organization Method for Enriching Evaluations II (hesitant F-PROMETHEE II) are combined to evaluate and rank transformers. In the hesitant fuzzy AHP-PROMETHEE II, hesitant F-AHP is implemented to determine criteria weights and hesitant F-PROMETHEE II is …applied to rank transformer alternatives, utilizing obtained criteria weights. An illustrative example is presented to demonstrate the effectiveness and applicability of the proposed approach. In the example, five transformers are evaluated based on twelve criteria by three decision makers (DMs) and best alternative is selected. For comparison analysis, integration of hesitant F-AHP and hesitant fuzzy Technique for Order Preference by Similarity to Ideal Solution (hesitant F-TOPSIS) is used and results are compared. Show more

Keywords: Transformer selection, hesitant fuzzy, multiple-criteria decision making, AHP-PROMETHEE II, AHP-TOPSIS

DOI: 10.3233/JIFS-200261

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 4133-4145, 2020

Authors: Coutinho, Pedro H.S. | Peixoto, Márcia L.C. | Lacerda, Márcio J. | Bernal, Miguel | Palhares, Reinaldo M.

Article Type: Research Article

Abstract: This paper presents new stability and stabilisation conditions in the form of linear matrix inequalities for discrete-time Takagi-Sugeno fuzzy systems; they are derived considering a class of non-quadratic Lyapunov functions with multi-parametric non-monotonic terms, which significantly enhances the feasibility set of current state-of-the-art results. In addition, extensions to cope with the disturbance attenuation control problem are included. Benchmark numerical examples are provided to illustrate the effectiveness of the proposed approach.

Keywords: Stability analysis, control design, Linear Matrix Inequality, non-quadratic Lyapunov function, non-monotonic functions

DOI: 10.3233/JIFS-200262

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 4147-4158, 2020

Authors: Annapandi, P. | Banumathi, R. | Pratheeba, N.S. | Manuela, A. Amala

Article Type: Research Article

Abstract: Due to the intermittent nature of renewable sources, the generation of power is varied which is the main problem in renewable energy system. Miss-matching between the power generation and load power causes a deviation from the desired voltage and frequency in power supply. Therefore, a new efficient smart grid system is required for an optimal power flow management. In this paper, a hybrid approach is presented for power flow management of HRES connected smart grid system. The novelty of the proposed approach is the combined execution of IHHO with SOA named as I2HOSOA technique. In the established work, the HHO …is integrated by crossover and mutation function, it is known as IHHO. The main contribution of the proposed strategy is to control the power flow based on source and load side parameters variations. In the proposed approach, the control signals of the voltage source are developed by the IHHO based on the variety of power exchange between the source and load side. Similarly, the online control signals are located by the SOA procedure by utilizing the parallel execution against the active and reactive power varieties. The multi-objective function is shaped by the grid required active and reactive power varieties created based on accessible source power. Here, the control parameters of the power controller are enhanced by the proposed technique based control models in light of the power flow varieties. The comparison between established and existing methods is analyzed in terms of reactive current injection, grid code, current amplitude limitation control, active power control, zero active power oscillations, and injection of active and reactive power. Furthermore, the statistical evaluation of established, and existing methods of mean, median, and standard deviation, is evaluated. Finally, the proposed model is executed in MATLAB/Simulink working platform and the execution is compared with the existing techniques. Show more

Keywords: Power flow management, proportional integral (PI) controller, unbalanced voltage drops, current injection, statistical analysis

DOI: 10.3233/JIFS-200266

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 4159-4181, 2020

Authors: Lin, Fu-Ning | Yu, Guang-Ji | Xue, Guang-Ming | Han, Jiang-Feng

Article Type: Research Article

Abstract:  Crisp antimatroid is a combinatorial abstraction of convexity. It also can be incorporated into the greedy algorithm in order to seek the optimal solutions. Nevertheless, this kind of significant classical structure has inherent limitations in addressing fuzzy optimization problems and abstracting fuzzy convexities. This paper introduces the concept of L -fuzzifying antimatroid associated with an L -fuzzifying family of feasible sets. Several relevant fundamental properties are obtained. We also propose the concept of L -fuzzifying rank functions for L -fuzzifying antimatroids, and then investigate their axiomatic characterizations. Finally, we shed light upon the bijective correspondence between an L -fuzzifying antimatroid …and its L -fuzzifying rank function. Show more

Keywords: Antimatroid, L-fuzzifying antimatroid, L-fuzzifying family of feasible sets, L-fuzzifying rank function

DOI: 10.3233/JIFS-200274

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 4183-4196, 2020

Authors: Khan, Waqar | Hila, Kostaq

Article Type: Research Article

Abstract:  We introduce the notion of fuzzy Abel-Grassmann’s hypergroupoid, hypercongruence, fuzzy hypercongruence, fuzzy strong hypercongruence, compatible relations in an Abel-Grassmann’s hypergroupoid. This paper is aimed to study fuzzy hyperideals, smallest fuzzy hyperideals, fuzzy equivalence relations, fuzzy compatible fuzzy strong compatible, fuzzy hypercongruences, fuzzy strong hypercongruences, fuzzy regular, fuzzy strong regular relations and fuzzy hypercongruences in Abel-Grassmann’s hypergroupoids. Characterizations of hypercongruences, their corresponding quotient structure, homomorphisms and an important theorem on embedding Abel-Grassmann’s hypergroupoids by means of fuzzy sets. We show that each hypergroupoid is embedded into a poe -hypergroupoid of all fuzzy subsets of an Abel-Grassmann’s hypergroupoid.

Keywords: Abel-Grassmann’s hypergroupoid, fuzzy equivalence relation, fuzzy hypercongruence, homomorphism, fuzzy strong hypercongruence, cartesian product, regular Abel-Grassmann’s hypergroupoid

DOI: 10.3233/JIFS-200277

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 4197-4209, 2020

Authors: Castiblanco, Fabian | Franco, Camilo | Rodríguez, J. Tinguaro | Montero, Javier

Article Type: Research Article

Abstract: This paper proposes a couple of criteria for evaluating the quality and relevance of a fuzzy partition. These criteria are established from a fuzzy classification system and its recursive De Morgan triplet. We propose a comparison process between the classes of a fuzzy partition, based on a translation invariant similarity relation. Therefore a classification process is carried out with the equivalence relations determined by the similarity relation. Such a relation is built on the commutative group structure formed by the elements of the fuzzy classification system. Our approach is illustrated through an example on image analysis by the fuzzy c-means …algorithm. Show more

Keywords: Relevance, fuzzy classification system, translation invariant similarity relation, fuzzy partitions, proximity relations

DOI: 10.3233/JIFS-200286

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 4211-4226, 2020

Authors: Najib, Fatma M. | Ismail, Rasha M. | Badr, Nagwa L. | Gharib, Tarek F.

Article Type: Research Article

Abstract: Many recent applications such as sensor networks generate continuous and time varying data streams that are often gathered from multiple data sources with some incompleteness and high dimensionality. Clustering such incomplete high dimensional streaming data faces four constraints which are 1) data incompleteness, 2) high dimensionality of data, 3) data distribution, 4) data streams’ continuous nature. Thus, in this paper, we propose the Subspace clustering for Incomplete High dimensional Data streams (SIHD) framework that overcomes the above clustering issues. The proposed SIHD provides continuous missing values imputation for incomplete streams based on the corresponding nearest-neighbors’ intervals. An adaptive subspace clustering …mechanism is proposed to deal with such incomplete high dimensional data streams. Our experimental results using two different data sets prove the efficiency of the proposed SIHD framework in clustering such incomplete high dimensional data streams in terms of accuracy, precision, sensitivity, specificity, and F-score compared to five algorithms GFCM, GBDC-P2P, DS, Ensemble, and DMSC. The proposed SIHD improved: 1) the accuracy on average over the five algorithms in the same mentioned order by 11.3%, 10.8%, 6.5%, 4.1%, and 3.6%, 2) the precision by 15%, 10.6%, 6.4%, 4%, and 3.5%, 3) the sensitivity by 16.6%, 10.6%, 5.8%, 4.2%, and 3.6%, 4) the specificity by 16.8%, 10.9%, 6.5%, 4%, and 3.5%, 5) the F-score by 16.6%, 10.7%, 6.6%, 4.1%, and 3.6%. Show more

Keywords: Data streams, incomplete data imputation, high dimensional data, subspace clustering

DOI: 10.3233/JIFS-200297

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 4227-4243, 2020

Authors: Liu, Hongping | Wei, Ruiju | Ge, Qian

Article Type: Research Article

Abstract: By means of a fuzzy binary operation defined on partially ordered sets, a new kind of ordered fuzzy group is proposed in this paper. Some properties of this ordered fuzzy group are studied. Following that, its substructures, such as subgroup and convex subgroup, as well as its homomorphisms, along with their properties are explored. It is shown that each family of these substructures forms a convex structure, where the convex hull of a subset is exactly the (convex) subgroup generated by itself, and the homomorphisms between two ordered fuzzy groups are convexity-preserving mappings between the corresponding convex spaces. In addition, …when these substructures are extended to fuzzy setting, several L -convex structures are constructed and investigated. Show more

Keywords: Fuzzy binary operation, ordered fuzzy group, subgroup, convex structure, convexity-preserving

DOI: 10.3233/JIFS-200311

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 4245-4257, 2020

Authors: Shabir, Muhammad | Gul, Rizwan

Article Type: Research Article

Abstract: Bipolar soft sets and rough sets are two different techniques to cope with uncertainty. A possible fusion of rough sets and bipolar soft sets is proposed by Karaaslan and Çağman. They introduced the notion of bipolar soft rough set. In this article, a new technique is being introduced to study roughness through bipolar soft sets. In this new technique of finding approximations of a set, flavour of both theories of bipolar soft set and rough set is retained. We call this new hybrid model modified rough bipolar soft set MRBS-set. Moreover, accuracy measure and roughness measure of modified rough bipolar …soft sets are defined in MRBS-approximation space and its application in multi-criteria group decision making is presented. Show more

Keywords: Rough set, soft set, bipolar soft set, bipolar soft P-rough set, modified rough bipolar soft set, MRBS-approximations

DOI: 10.3233/JIFS-200317

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 4259-4283, 2020