University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301Cover Vol 16, No. 2, April 201900453710.22111/ijfs.2019.4537ENJournal Article20190330http://ijfs.usb.ac.ir/article_4537_8191a1f092e88c7d628c78118e9d78e9.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301Fuzzy type theory with partial functions116453810.22111/ijfs.2019.4538ENVilémNovákCentre of Excellence IT4Innovations, Division of the University of Ostrava, Institute for research and applications of fuzzy modelingJournal Article20170901<span class="fontstyle0">This paper is a study of fuzzy type theory (FTT) with partial functions. Out of several possibilities we decided to<br />introduce a special value ”</span><span class="fontstyle2">∗</span><span class="fontstyle0">” that represents ”undefined”. In the interpretation of FTT, this value lays outside of the<br />corresponding domain. In the syntax it can be naturally represented by the description operator acting on the empty<br />(fuzzy) set, because choosing an element from its kernel gives no result. Among many results, we will show that if, in a<br />theory </span><span class="fontstyle3">T</span><span class="fontstyle0">, ”</span><span class="fontstyle2">∗</span><span class="fontstyle0">” is defined or provable then </span><span class="fontstyle3">T </span><span class="fontstyle0">is contradictory. We will also show completeness in the sense any consistent<br />theory of FTT with partial functions has a model.</span> <br /><br />http://ijfs.usb.ac.ir/article_4538_23a27f249980a6556a8ab849480f08ef.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301Stabilization of chaotic systems via fuzzy time-delayed controller approac1729453910.22111/ijfs.2019.4539ENHanèneMedhaffarControl and Energy Management Laboratory, National Engineering School of Sfax, University of Sfax, Tunisia0000-0002-1047-968XMoezFekiESSTHS, University of Sousse.NabilDerbelControl and Energy Management Laboratory, National Engineering School of Sfax, University of Sfax, TunisiaJournal Article20171101<span class="fontstyle0">In this paper, we investigate the stabilization of unstable periodic orbits of continuous time chaotic systems using<br />fuzzy time-delayed controllers. For this aim, we present a control method that can achieve stabilization of an unstable<br />periodic orbit (UPO) without any knowledge of the system model. Our proposal is attained progressively. First, we<br />combine the input-to-state linearizing controller with the fuzzy method to obtain one that achieves UPO stabilization.<br />Then, we use reduced order sliding observer to estimate the necessary state for the controller construction. Finally, the<br />efficiency of the proposed methods is demonstrated using numerical simulations applied to Chua’s system.</span> <br /><br />http://ijfs.usb.ac.ir/article_4539_1f5ba773efe6636c692461b3b228b0d5.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301Incidence cuts and connectivity in fuzzy incidence graphs3143454010.22111/ijfs.2019.4540ENSunilMathewAssistant Professor, Department of Mathematics, NIT CalicutJohnMordesonCreighton UniversityHai-LongYangShaanxi Normal University ChinaJournal Article20171101<span class="fontstyle0">Fuzzy incidence graphs can be used as models for nondeterministic interconnection networks having extra node-edge<br />relationships. For example, ramps in a highway system may be modeled as a fuzzy incidence graph so that unexpected<br />flow between cities and highways can be effectively studied and controlled. Like node and edge connectivity in graphs,<br />node connectivity and arc connectivity in fuzzy incidence graphs are introduced in this article. Their relationships with<br />fuzzy connectivity parameters are discussed and results similar to Whitney’s theorems are obtained. Also, the incidence<br />is used to model flows in human trafficking networks.</span> <br /><br />http://ijfs.usb.ac.ir/article_4540_afc5cb83e48c50fca7e44ed441f4e7d9.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301Comparing uncertainty data in epistemic and ontic sense used to decision making problem4555454110.22111/ijfs.2019.4541ENBarbaraPekalaUniversity of RzeszowJournal Article20170601<span class="fontstyle0">In the paper aspect of comparability alternatives in decision making problem by imprecise or incomplete information is<br />examined. In particular, new definitions of transitivity based on the measure of the intensity preference between pairs<br />of alternatives in epistemic and ontic case is presented and its application to solve decision making problem is proposed.</span> <br /><br />http://ijfs.usb.ac.ir/article_4541_c19cc2b8dda52e639a84ccae4e8f5a1e.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301The fuzzy generalized Taylor’s expansion with application in fractional differential equations5772454210.22111/ijfs.2019.4542ENAtefehArmandDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranTofighAllahviranlooDepartment of Mathematics, Science and Research Branch,
Islamic Azad University, Tehran, Iran0000-0002-6673-3560SaeidAbbasbandyImam Khomeini Int. UniversityZeinabGouyandehDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranJournal Article20170301<span class="fontstyle0">In this paper, the generalized Taylor’s expansion is presented for fuzzy-valued functions. To achieve this aim, fuzzy<br />fractional mean value theorem for integral, and some properties of Caputo generalized Hukuhara derivative are necessary<br />that we prove them in details. In application, the fractional Euler’s method is derived for solving fuzzy fractional<br />differential equations in the sense of Caputo differentiability. The effectiveness of the proposed method is verified by<br />three examples.</span> <br /><br />http://ijfs.usb.ac.ir/article_4542_88ed4de9e954685fa1aa21d536288a8b.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301A symbol-based fuzzy decision-making approach to evaluate the user satisfaction on services in academic digital libraries7386454310.22111/ijfs.2019.4543ENChuanYueCollege of Mathematics and Computer Science, Guangdong Ocean UniversityJournal Article20160901<span class="fontstyle0">Academic libraries play a significant role in providing core services that include research, teaching and learning. User<br />satisfaction is an important indicator for evaluating the performance of library service. This paper develops a method<br />for measuring the user satisfaction in a group decision-making environment. First, the performance of service is<br />evaluated by using questionnaire survey. The scores are recorded by using some simple symbols. Second, the symbol<br />information along with nonresponse items in questionnaires are fused into an intuitionistic fuzzy information. Third, an<br />experimental analysis is provided to illustrate the validity and effectiveness of introduced method in this paper. Finally,<br />the theoretical and practical implications of current model are discussed, the important limitations are recognized, and<br />some main advantages and future research directions of current method are shown in conclusions.</span> <br /><br />http://ijfs.usb.ac.ir/article_4543_ec2d8d03491eddb353f4392cbb0e4a10.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301Stratified (L; M)-semiuniform convergence tower spaces8796454410.22111/ijfs.2019.4544ENJuanLiSchool of Mathematics, Beijing Institute of Technology, BeijingJournal Article20171001<span class="fontstyle0">The notion of stratified (</span><span class="fontstyle2">L, M</span><span class="fontstyle0">)-semiuniform convergence tower spaces is introduced, which extends the notions of<br />probabilistic semiuniform convergence spaces and lattice-valued semiuniform convergence spaces. The resulting category<br />is shown to be a strong topological universe. Besides, the relations between our category and that of stratified (</span><span class="fontstyle2">L, M</span><span class="fontstyle0">)-<br />filter tower spaces are studied.</span> <br /><br />http://ijfs.usb.ac.ir/article_4544_a53b1e1f25949fa9646ea4484b4d3dd8.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301Relationships between completeness of fuzzy quasi-uniform spaces97106454510.22111/ijfs.2019.4545ENChenYuanDepartment of Mathematics, Ocean University of China, 238 Songling Road, Qingdao, P.R.China.YueliYueDepartment of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R.ChinaJournal Article20171101<span class="fontstyle0">In this paper, we give a kind of Cauchy 1-completeness in probabilistic quasi-uniform spaces by using 1-filters. Utilizing<br />the relationships among probabilistic quasi-uniformities, classical quasi-uniformities and Hutton [0</span><span class="fontstyle2">, </span><span class="fontstyle0">1]-quasi-uniformities,<br />we show the relationships between their completeness. In fuzzy quasi-metric spaces, we establish the relationships<br />between the completeness of induced probabilistic quasi-uniform spaces and both completeness of induced classical<br />quasi-uniform spaces and induced Hutton [0</span><span class="fontstyle2">, </span><span class="fontstyle0">1]-quasi-uniform spaces.</span> <br /><br />http://ijfs.usb.ac.ir/article_4545_75e40e88aa61d47d5912d0003c8472c3.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301System of fuzzy fractional differential equations in generalized metric space107121454610.22111/ijfs.2019.4546ENLong VietHoangFaculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh
City, Vietnam.Nguyen Thi KimSonCenter for Science and Technology Information, Hanoi Metropolitan University, 98 Duong Quang Ham, Quan Hoa, Cau Giay, Ha Noi, Viet Nam0000-0003-3974-4069Phuong HoangThaoDepartment of Mathematics, Hanoi National University of Education, Hanoi, VietnamJournal Article20160901<span class="fontstyle0">In this paper, we study the existence of integral solutions of fuzzy fractional differential systems with nonlocal conditions under Caputo generalized Hukuhara derivatives. These models are considered in the framework of complete<br />generalized metric spaces in the sense of Perov. The novel feature of our approach is the combination of the convergent<br />matrix technique with Schauder fixed point principle of vector valued operators in semilinear Banach spaces. Some<br />computational examples are represented to demonstrate our theoretical results.</span> <br /><br />http://ijfs.usb.ac.ir/article_4546_9646cff506caf2058754d308ea85d2f9.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301Ranking triangular interval-valued fuzzy numbers based on the relative preference relation123136454710.22111/ijfs.2019.4547ENYu-JieWangDepartment of Shipping and Transportation Management, National Penghu University of Science and Technology, Penghu 880,
Taiwan, Republic of ChinaJournal Article20170801<span class="fontstyle0">In this paper, we first use a fuzzy preference relation with a membership function representing preference degree for<br />comparing two interval-valued fuzzy numbers and then utilize a relative preference relation improved from the fuzzy<br />preference relation to rank a set of interval-valued fuzzy numbers. Since the fuzzy preference relation is a total ordering<br />relation that satisfies reciprocal and transitive laws on interval-valued fuzzy numbers, the relative preference relation is<br />also a total ordering relation. Practically, the fuzzy preference relation is more reasonable on ranking interval-valued<br />fuzzy numbers than defuzzification because defuzzification does not present preference degree between fuzzy numbers<br />and loses messages. However, fuzzy pair-wise comparison for the fuzzy preference relation is more complex and difficult<br />than defuzzification. To resolve fuzzy pair-wise comparison tie, the relative preference relation takes the strengths of<br />defuzzification and the fuzzy preference relation into consideration. The relative preference relation expresses preference<br />degrees of interval-valued fuzzy numbers over average as the fuzzy preference relation does, and ranks fuzzy numbers<br />by relative crisp values as defuzzification does. In fact, the application of relative preference relation was shown in<br />traditional fuzzy numbers, such as triangular and trapezoidal fuzzy numbers, for previous approaches. In this paper, we<br />extend and utilize the relative preference relation on interval-valued fuzzy numbers, especially for triangular intervalvalued fuzzy numbers. Obviously, interval-valued fuzzy numbers based on the relative preference relation are easily and quickly ranked, and able to reserve fuzzy information.</span> <br /><br />http://ijfs.usb.ac.ir/article_4547_2d42cfd6014592f7758ad25007b4a71e.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301On characterizations of the fully rational fuzzy choice functions137146454810.22111/ijfs.2019.4548ENSantoshDesaiDepartment of Mathematics,
Shivaji University, Vidyanagar
Kolhapur (Maharashtra)-India-416004ShrikantChaudhariDepartment of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon (M.S.)-425001 IndiaJournal Article20170401<span class="fontstyle0">In the present paper, we introduce the fuzzy Nehring axiom, fuzzy Sen axiom and weaker form of the weak fuzzy<br />congruence axiom. We establish interrelations between these axioms and their relation with fuzzy Chernoff axiom. We<br />express full rationality of a fuzzy choice function using these axioms along with the fuzzy Chernoff axiom.</span> <br /><br />http://ijfs.usb.ac.ir/article_4548_c818cd7aedd17fe8318ff0bb2afa750f.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301Exponential membership function and duality gaps for I-fuzzy linear programming problems147163454910.22111/ijfs.2019.4549ENIndira P.DebnathIndian Institute of Technology RoorkeeS. K.GuptaIndian Institute of Technology, RoorkeeJournal Article20170101<span class="fontstyle0">Fuzziness is ever presented in real life decision making problems. In this paper, we adapt the pessimistic approach to<br />study a pair of linear primal-dual problem under intuitionistic fuzzy (I-fuzzy) environment and prove certain duality<br />results. We generate the duality results using exponential membership and non-membership functions to represent the<br />decision maker’s satisfaction and dissatisfaction level. Further, two numerical examples have been given. In each of<br />these illustrations, varying the values of the shape variables in the exponential membership functions, various nonlinear<br />optimization problems have been constructed, analyzed and solved. The duality gaps for all these optimization problems<br />have been computed and compared with the duality gap under the linear membership function. We found that these<br />gaps for the I-fuzzy linear primal-dual pair under the exponential membership functions are smaller as compared with<br />the linear membership functions. The main advantage of using the exponential membership function is that it has the<br />flexibility of altering the values of the shape parameters (as per the decision-maker’s satisfaction). Finally, with the<br />help of a suitable ranking defuzzification function, we have extended our approach to the I-fuzzy linear problem with<br />fuzzy parameters and fuzzy constraints.</span> <br /><br />http://ijfs.usb.ac.ir/article_4549_b21fcdc4aecd6b8ea53b1101cbc30569.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301A hybrid filter-based feature selection method via hesitant fuzzy and rough sets concepts165182455010.22111/ijfs.2019.4550ENMohammadMohtashamiDepartment of computer Engineering, Shahid Bahonar University of Kerman, Kerman, Iran.MahdiEftekhariDepartment of Computer Engineering, School of Engineering,
Shahid Bahonar University of Kerman, Kerman, IranJournal Article20170701<span class="fontstyle0">High dimensional microarray datasets are difficult to classify since they have many features with small number of<br />instances and imbalanced distribution of classes. This paper proposes a filter-based feature selection method to improve<br />the classification performance of microarray datasets by selecting the significant features. Combining the concepts of<br />rough sets, weighted rough set, fuzzy rough set and hesitant fuzzy sets for developing an effective algorithm is the main<br />contribution of this paper. The mentioned method has two steps, in the first step, four discretization approaches are<br />applied to discretize continuous datasets and selects a primary subset of features by combining of weighted rough set<br />dependency degree and information gain via hesitant fuzzy aggregation approach. In the second step, a significance<br />measure of features (defined by fuzzy rough concepts) is employed to remove redundant features from primary set.<br />The Wilcoxon Signed Ranked tes (A Non-parametric statistical test) is conducted for comparing the presented method<br />with ten feature selection methods across seven datasets. The results of experiments show that the proposed method<br />is able to select a significant subset of features and it is an effective method in the literature in terms of classification<br />performance and simplicity.</span><br /><br />http://ijfs.usb.ac.ir/article_4550_8f6c40e2d292e058c549e84e9c4acc39.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301First order linear fuzzy dynamic equations on time scales183196455110.22111/ijfs.2019.4551ENAlirezaKhastanDepartment of Mathematics
Institute for Advanced Studies in Basic SciencesS.HejabDepartment of Mathematics, Institute for Advanced Studies in
Basic Sciences (IASBS), Zanjan, Iran.Journal Article20180101<span class="fontstyle0">In this paper, we study the concept of generalized differentiability for fuzzy-valued functions on time scales. Using<br />the derivative of the product of two functions, we provide solutions to first order linear fuzzy dynamic equations. We<br />present some examples to illustrate our results.</span> <br /><br />http://ijfs.usb.ac.ir/article_4551_496f79c7f5d50a460d06b1f7c5030a25.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301The Sugeno fuzzy integral of concave functions197204455210.22111/ijfs.2019.4552ENMadjidEshaghiFaculty of Mathematics, Statistics and Computer Sciences, Semnan
UniversitySadeghAbbaszadehDepartment of Computer Science, Paderborn University, Paderborn, GermanyChoonkilParkHanyang UniversityJournal Article20180201<span class="fontstyle0">The fuzzy integrals are a kind of fuzzy measures acting on fuzzy sets. They can be viewed as an average membership<br />value of fuzzy sets. The value of the fuzzy integral in a decision making environment where uncertainty is present<br />has been well established. Most of the integral inequalities studied in the fuzzy integration context normally consider<br />conditions such as monotonicity or comonotonicity. In this paper, we are trying to extend the fuzzy integrals to the<br />concept of concavity. It is shown that the Hermite-Hadamard integral inequality for concave functions is not satisfied in<br />the case of fuzzy integrals. We propose upper and lower bounds on the fuzzy integral of concave functions. We present<br />a geometric interpretation and some examples in the framework of the Lebesgue measure to illustrate the results.</span> <br /><br />http://ijfs.usb.ac.ir/article_4552_114f32120dec27a89133d80aa712ff2f.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416220190301Persian-translation IJFS-vol 16-no 2-April 2019205221458910.22111/ijfs.2019.4589ENJournal Article20190416http://ijfs.usb.ac.ir/article_4589_79c8ed8e12986b5daad6f9a3ea0740cf.pdf