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Journal articles on the topic 'Fuzzy bounded'

Author: Grafiati
Published: 4 June 2025
Last updated: 15 July 2025

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1

Şengönül, M., and Z. Zararsız. "Some Additions to the Fuzzy Convergent and Fuzzy Bounded Sequence Spaces of Fuzzy Numbers." Abstract and Applied Analysis 2011 (2011): 1–12. http://dx.doi.org/10.1155/2011/837584.

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Some properties of the fuzzy convergence and fuzzy boundedness of a sequence of fuzzy numbers were studied in Choi (1996). In this paper, we have consider, some important problems on these spaces and shown that these spaces are fuzzy complete module spaces. Also, the fuzzyα-, fuzzyβ-, and fuzzyγ-duals of the fuzzy module spaces of fuzzy numbers have been computeded, and some matrix transformations are given.
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2

Moradi, Hamid Reza. "Bounded and Semi Bounded Inverse Theorems in Fuzzy Normed Spaces." International Journal of Fuzzy System Applications 4, no. 2 (2015): 47–55. http://dx.doi.org/10.4018/ijfsa.2015040104.

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In this paper, the author introduces the notion of the complete fuzzy norm on a linear space. And the author considers some relations between the fuzzy completeness and ordinary completeness on a linear space, moreover a new form of fuzzy compact spaces, namely b-compact spaces, b-closed space is introduced. Some characterization of their properties is obtained. Also some basic properties for linear operators between fuzzy normed spaces are further studied. The notions of fuzzy vector spaces and fuzzy topological vector spaces were introduced in Katsaras and Liu (1977). These ideas were modified by Katsaras (1981), and in (1984) Katsaras defined the fuzzy norm on a vector space. In (1991) Krishna and Sarma discussed the generation of a fuzzy vector topology from an ordinary vector topology on vector spaces. Also Krishna and Sarma (1992) observed the convergence of sequence of fuzzy points. Rhie et al. (1997) Introduced the notion of fuzzy a-Cauchy sequence of fuzzy points and fuzzy completeness.
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3

Itoh, Masuo, and Muneo Cho. "Fuzzy bounded operators." Fuzzy Sets and Systems 93, no. 3 (1998): 353–62. http://dx.doi.org/10.1016/s0165-0114(96)00198-4.

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4

Jehad, R. Kider, and J. Hassan Aisha. "Fuzzy Compact Fuzzy Distance Space." Journal of Progressive Research in Mathematics 6, no. 1 (2015): 694–709. https://doi.org/10.5281/zenodo.3977863.

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In this paper we recall the definition of fuzzy distance space on a fuzzy set then we define a compact fuzzy distance space and fuzzy totally bounded after that we prove that fuzzy totally bounded fuzzy complete fuzzy distance space is fuzzy compact. Moreover we recall the definition of fuzzy continuous and uniform fuzzy continuous function to prove that fuzzy continuous function and uniform fuzzy continuous functions are equivalent on a fuzzy compact fuzzy distance spaces.
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5

Xin, Xiao Long, Wei Ji, and Xiu Juan Hua. "Fuzzy Filter Spectrum of a BCK Algebra." International Journal of Mathematics and Mathematical Sciences 2011 (2011): 1–13. http://dx.doi.org/10.1155/2011/795934.

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The notion of fuzzy s-prime filters of a bounded BCK-algebra is introduced. We discuss the relation between fuzzy s-prime filters and fuzzy prime filters. By the fuzzy s-prime filters of a bounded commutative BCK-algebraX, we establish a fuzzy topological structure onX. We prove that the set of all fuzzy s-prime filters of a bounded commutative BCK-algebra forms a topological space. Moreover, we show that the set of all fuzzy s-prime filters of a bounded implicative BCK-algebra is a Hausdorff space.
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6

Bag, T., and S. K. Samanta. "Fuzzy bounded linear operators." Fuzzy Sets and Systems 151, no. 3 (2005): 513–47. http://dx.doi.org/10.1016/j.fss.2004.05.004.

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7

Yazdani, Hossein. "Bounded Fuzzy Possibilistic Method." Fuzzy Sets and Systems 389 (June 2020): 51–65. http://dx.doi.org/10.1016/j.fss.2019.07.011.

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8

Mohsen, Salim Dawood, and Hanan Khalid Mousa. "Another Results Related of Fuzzy Soft Quasi Normal Operator in Fuzzy Soft Hilbert Space." Journal of Physics: Conference Series 2322, no. 1 (2022): 012050. http://dx.doi.org/10.1088/1742-6596/2322/1/012050.

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Abstract The goal of this paper, is to introduce another classes of the fuzzy soft bounded linear operator in the fuzzy soft Hilbert space which is a fuzzy soft quasi normal operator, as well as, give some properties about this concept with investigating the relationship among this types of the fuzzy soft bounded linear operator on fuzzy soft Hilbert space with other kinds of fuzzy soft bounded linear operators.
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9

Ebrahimnejad, Ali, Seyed Hadi Nasseri, and Sayyed Mehdi Mansourzadeh. "Bounded Primal Simplex Algorithm for Bounded Linear Programming with Fuzzy Cost Coefficients." International Journal of Operations Research and Information Systems 2, no. 1 (2011): 96–120. http://dx.doi.org/10.4018/joris.2011010105.

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In most practical problems of linear programming problems with fuzzy cost coefficients, some or all variables are restricted to lie within lower and upper bounds. In this paper, the authors propose a new method for solving such problems called the bounded fuzzy primal simplex algorithm. Some researchers used the linear programming problem with fuzzy cost coefficients as an auxiliary problem for solving linear programming with fuzzy variables, but their method is not efficient when the decision variables are bounded variables in the auxiliary problem. In this paper the authors introduce an efficient approach to overcome this shortcoming. The bounded fuzzy primal simplex algorithm starts with a primal feasible basis and moves towards attaining primal optimality while maintaining primal feasibility throughout. This algorithm will be useful for sensitivity analysis using primal simplex tableaus.
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10

Saha, Sangita, and Santanu Roy. "New Classes of Statistically Pre-Cauchy Triple Sequences of Fuzzy Numbers Defined by Orlicz Function." Journal of the Indian Mathematical Society 85, no. 3-4 (2018): 411. http://dx.doi.org/10.18311/jims/2018/21408.

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In this article, the concept of statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two defined by Orlicz function is introduced. A characterization of the class of bounded statistically pre-Cauchy triple sequences of fuzzy numbers with the help of Orlicz function is presented. Then a necessary and suffcient condition for a bounded triple sequence of fuzzy real numbers to be statistically pre-Cauchy is proved. Also a necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be statistically convergent is derived. Further, a characterization of the class of bounded statistically convergent triple sequences of fuzzy numbers is presented and linked with Cesaro summability.
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11

Ahsanullah, T. M. G., and Fawzi Al-Thukair. "N-topo nilpotency in fuzzy neighborhood rings." International Journal of Mathematics and Mathematical Sciences 2004, no. 13 (2004): 679–96. http://dx.doi.org/10.1155/s0161171204305247.

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We introduce the notion of N-topo nilpotent fuzzy set in a fuzzy neighborhood ring and develop some fundamental results. Here we show that a fuzzy neighborhood ring is locally inversely bounded if and only if for all0<α<1, theα-level topological rings are locally inversely bounded. This leads us to prove a characterization theorem which says that if a fuzzy neighborhood ring on a division ring is Wuyts-LowenWNT2and locally inversely bounded, then the fuzzy neighborhood ring is a fuzzy neighborhood division ring. We also present another characterization theorem which says that a fuzzy neighborhood ring on a division ring is a fuzzy neighborhood division ring if the fuzzy neighborhood ring contains an N-topo nilpotent fuzzy neighborhood of zero.
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12

Wu, Xinlin, and Yong Zhao. "Research on Bounded Rationality of Fuzzy Choice Functions." Scientific World Journal 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/928279.

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The rationality of a fuzzy choice function is a hot research topic in the study of fuzzy choice functions. In this paper, two common fuzzy sets are studied and analyzed in the framework of the Banerjee choice function. The complete rationality and bounded rationality of fuzzy choice functions are defined based on the two fuzzy sets. An assumption is presented to study the fuzzy choice function, and especially the fuzzy choice function with bounded rationality is studied combined with some rationality conditions. Results show that the fuzzy choice function with bounded rationality also satisfies some important rationality conditions, but not vice versa. The research gives supplements to the investigation in the framework of the Banerjee choice function.
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13

Al-Tai, Abdul Hameed Q. A. "On the Fuzzy Convergence." Journal of Applied Mathematics 2011 (2011): 1–8. http://dx.doi.org/10.1155/2011/147130.

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The aim of this paper is to introduce and study the fuzzy neighborhood, the limit fuzzy number, the convergent fuzzy sequence, the bounded fuzzy sequence, and the Cauchy fuzzy sequence on the base which is adopted by Abdul Hameed (every real numberris replaced by a fuzzy numberr¯(either triangular fuzzy number or singleton fuzzy set (fuzzy point))). And then, we will consider that some results respect effect of the upper sequence on the convergent fuzzy sequence, the bounded fuzzy sequence, and the Cauchy fuzzy sequence.
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14

Guirao, Juan Luis García, Mobashir Iqbal, Zia Bashir, and Tabasam Rashid. "A Study on Fuzzy Order Bounded Linear Operators in Fuzzy Riesz Spaces." Mathematics 9, no. 13 (2021): 1512. http://dx.doi.org/10.3390/math9131512.

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This paper aims to study fuzzy order bounded linear operators between two fuzzy Riesz spaces. Two lattice operations are defined to make the set of all bounded linear operators as a fuzzy Riesz space when the codomain is fuzzy Dedekind complete. As a special case, separation property in fuzzy order dual is studied. Furthermore, we studied fuzzy norms compatible with fuzzy ordering (fuzzy norm Riesz space) and discussed the relation between the fuzzy order dual and topological dual of a locally convex solid fuzzy Riesz space.
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15

Katsaras, A. K. "Totally bounded fuzzy syntopogenous structures." Fuzzy Sets and Systems 28, no. 1 (1988): 91–103. http://dx.doi.org/10.1016/0165-0114(88)90119-4.

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16

Sinha, Parijat, and Yogesh Chandra. "FUZZY CONTINUOUS AND FUZZY BOUNDED LINEAR OPERATORS OVER ANTI-FUZZY FIELDS." jnanabha 53, no. 02 (2023): 168–76. http://dx.doi.org/10.58250/jnanabha.2023.53220.

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In this paper, we have studied the concept of anti-norm and anti-inner product function on anti-fuzzy linear space over anti-fuzzy field, we have also given fuzzy continuous linear operator from an anti-normed anti-fuzzy linear space to another anti-normed anti-fuzzy linear space and also introduced three types (strong, weak and sequential) of fuzzy bounded linear operators.
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17

R. Kider, Jehad, and Aisha J. Hassan. "PROPERTIES OF FUZZY DITANCE ON FUZZY SET." JOURNAL OF ADVANCES IN MATHEMATICS 11, no. 6 (2016): 5286–99. http://dx.doi.org/10.24297/jam.v11i6.1226.

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In this paper we introduce the definition of fuzzy distance space on fuzzy set then we study and discuss several properties of this space after some illustrative examples are given . Furthermore we introduce the definition of fuzzy convergence, fuzzy Cauchy sequence of fuzzy point and fuzzy bounded fuzzy distance space .
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18

T. Gunasekar. "Bounded Closed Interval-Valued Decagonal Fuzzy Number and its Application." Communications on Applied Nonlinear Analysis 32, no. 3 (2024): 436–50. http://dx.doi.org/10.52783/cana.v32.2000.

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In this paper, we introduced the notation of Algebraic operations of bounded closed interval-valued decagonal fuzzy number. To overcome the uncertainty here we used fuzzy numbers. Many researchers have focused their research with Triangular and Trapezoidal fuzzy numbers, in some cases it is not fit to the problem when the vagueness arises in ten different opinions so our motto is to develop the theorems for bounded closed interval using Algebraic operations such as Addition, Subtraction, Multiplication and Division via Decagonal Fuzzy Number.
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19

Xia, Yanjun, Linfei Ding, Pan Liu, and Zhangchun Tang. "Uncertainty Propagation for the Structures with Fuzzy Variables and Uncertain-but-Bounded Variables." Materials 16, no. 9 (2023): 3367. http://dx.doi.org/10.3390/ma16093367.

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Various uncertain factors exist in the practical systems. Random variables, uncertain-but-bounded variables and fuzzy variables are commonly employed to measure these uncertain factors. Random variables are usually employed to define uncertain factors with sufficient samples to accurately estimate probability density functions (PDFs). Uncertain-but-bounded variables are usually employed to define uncertain factors with limited samples that cannot accurately estimate PDFs but can precisely decide variation ranges of uncertain factors. Fuzzy variables can commonly be employed to define uncertain factors with epistemic uncertainty relevant to human knowledge and expert experience. This paper focuses on the practical systems subjected to epistemic uncertainty measured by fuzzy variables and uncertainty with limited samples measured by uncertain-but-bounded variables. The uncertainty propagation of the systems with fuzzy variables described by a membership function and uncertain-but-bounded variables defined by a multi-ellipsoid convex set is investigated. The combination of the membership levels method for fuzzy variables and the non-probabilistic reliability index for uncertain-but-bounded variables is employed to solve the uncertainty propagation. Uncertainty propagation is sued to calculate the membership function of the non-probabilistic reliability index, which is defined by a nested optimization problem at each membership level when all fuzzy variables degenerate into intervals. Finally, three methods are employed to seek the membership function of the non-probabilistic reliability index. Various examples are utilized to demonstrate the applicability of the model and the efficiency of the proposed method.
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20

Georgiou, D. N., and I. E. Kougias. "Bounded solutions for fuzzy integral equations." International Journal of Mathematics and Mathematical Sciences 31, no. 2 (2002): 109–14. http://dx.doi.org/10.1155/s0161171202108258.

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21

EBRAHIMNEJAD, ALI, SEYED HADI NASSERI, and FARHAD HOSSEINZADEH LOTFI. "BOUNDED LINEAR PROGRAMS WITH TRAPEZOIDAL FUZZY NUMBERS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 18, no. 03 (2010): 269–86. http://dx.doi.org/10.1142/s0218488510006532.

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Recently Ganesan and Veeramani introduced a new approach for solving a kind of linear programming problems involving symmetric trapezoidal fuzzy numbers without converting them to the crisp linear programming problems. But their approach is not efficient for situations in which some or all variables are restricted to lie within fuzzy lower and fuzzy upper bounds. In this paper, by a natural extension of their approach we obtain some new results leading to a new method to overcome this shortcoming.
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22

Covacic, Márcio Roberto, Marcelo Carvalho Minhoto Teixeira, Aparecido Augusto de Carvalho, et al. "Robust T-S Fuzzy Control of Electrostimulation for Paraplegic Patients considering Norm-Bounded Uncertainties." Mathematical Problems in Engineering 2020 (August 12, 2020): 1–28. http://dx.doi.org/10.1155/2020/4624657.

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This manuscript presents a Takagi–Sugeno fuzzy control for a mathematical model of the knee position of paraplegic patients using functional electrical stimulation (FES). Each local model of the fuzzy system is represented considering norm-bounded uncertainties. After obtaining the model of FES with norm-bounded uncertainties, the fuzzy control strategy is designed through the solution of linear matrix inequalities (LMIs) using the conditions available in the literature, which consider these norm-bounded uncertainties. The strategy considers decay rate and constraints on the input signal. The model is simulated in the Matlab environment using the numerical parameters measured by experimental tests from a paraplegic patient.
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23

Et al., Kider. "Properties of Fuzzy Compact Linear Operators on Fuzzy Normed Spaces." Baghdad Science Journal 16, no. 1 (2019): 0104. http://dx.doi.org/10.21123/bsj.2019.16.1.0104.

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In this paper the definition of fuzzy normed space is recalled and its basic properties. Then the definition of fuzzy compact operator from fuzzy normed space into another fuzzy normed space is introduced after that the proof of an operator is fuzzy compact if and only if the image of any fuzzy bounded sequence contains a convergent subsequence is given. At this point the basic properties of the vector space FC(V,U)of all fuzzy compact linear operators are investigated such as when U is complete and the sequence ( ) of fuzzy compact operators converges to an operator T then T must be fuzzy compact. Furthermore we see that when T is a fuzzy compact operator and S is a fuzzy bounded operator then the composition TS and ST are fuzzy compact operators. Finally, if T belongs to FC(V,U) and dimension of V is finite then T is fuzzy compact is proved.
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24

C., Faria. "On Fuzzy Conjugate Spaces of Fuzzy 2-Normed Spaces." Journal of Al-Rafidain University College For Sciences ( Print ISSN: 1681-6870 ,Online ISSN: 2790-2293 ), no. 1 (October 16, 2021): 127–42. http://dx.doi.org/10.55562/jrucs.v33i1.305.

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In this paper we give the definition of fuzzy 2-bounded linear functional and the notions of his fuzzy norm is introduced. Also, we introduce fuzzy conjugate space of a fuzzy 2-normed linear space and give some facts that are related with it.
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25

Wang, Lei, and Yu Fu. "Bounded Rationality of Generalized Abstract Fuzzy Economies." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/347579.

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By using a nonlinear scalarization technique, the bounded rationality modelMfor generalized abstract fuzzy economies in finite continuous spaces is established. Furthermore, by using the modelM, some new theorems for structural stability and robustness to (λ,ϵ)-equilibria of generalized abstract fuzzy economies are proved.
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26

Iqbal, Mobashir, M. G. Abbas Malik, Yasir Bashir, and Zia Bashir. "The Unbounded Fuzzy Order Convergence in Fuzzy Riesz Spaces." Symmetry 11, no. 8 (2019): 971. http://dx.doi.org/10.3390/sym11080971.

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The fuzzy order convergence in fuzzy Riesz spaces is defined only for fuzzy order bounded nets. The aim of this paper is to define and study unbounded fuzzy order convergence and some of its applications. Furthermore, some theoretical concepts like the fuzzy weak order unit and fuzzy ideals are studied in relation to unbounded fuzzy order convergence.
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27

Sharma, Mami, and Debajit Hazarika. "Fuzzy Bounded Linear Operator in Fuzzy Normed Linear Spaces and its Fuzzy Compactness." New Mathematics and Natural Computation 16, no. 01 (2020): 177–93. http://dx.doi.org/10.1142/s1793005720500118.

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In this paper, we first investigate the relationship between various notions of fuzzy boundedness of linear operators in fuzzy normed linear spaces. We also discuss the fuzzy boundedness of fuzzy compact operators. Furthermore, the spaces of fuzzy compact operators have been studied.
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28

An, Jiyao, Guilin Wen, and Wei Xu. "Improved Results on FuzzyH∞Filter Design for T-S Fuzzy Systems." Discrete Dynamics in Nature and Society 2010 (2010): 1–21. http://dx.doi.org/10.1155/2010/392915.

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The fuzzyH∞filter design problem for T-S fuzzy systems with interval time-varying delay is investigated. The delay is considered as the time-varying delay being either differentiable uniformly bounded with delay derivative in bounded interval or fast varying (with no restrictions on the delay derivative). A novel Lyapunov-Krasovskii functional is employed and a tighter upper bound of its derivative is obtained. The resulting criterion thus has advantages over the existing ones since we estimate the upper bound of the derivative of Lyapunov-Krasovskii functional without ignoring some useful terms. A fuzzyH∞filter is designed to ensure that the filter error system is asymptotically stable and has a prescribedH∞performance level. An improved delay-derivative-dependent condition for the existence of such a filter is derived in the form of linear matrix inequalities (LMIs). Finally, numerical examples are given to show the effectiveness of the proposed method.
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29

Kider, Jehad. "Some Properties of Fuzzy Soft Metric Space." Al-Qadisiyah Journal Of Pure Science 25, no. 3 (2020): 46–61. http://dx.doi.org/10.29350/qjps.2020.25.3.1149.

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In this paper we introduce the notion fuzzy soft metric space after that we define open fuzzy soft ball, fuzzy soft bounded set, fuzzy soft convergence of sequences, fuzzy soft continuous function from a fuzzy soft metric space to another fuzzy metric space then we study this space and some basic results are investigated.
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30

PEEVA, KETTY. "FINITE ${\mathbb L}$–FUZZY ACCEPTORS, REGULAR ${\mathbb L}$–FUZZY GRAMMARS AND SYNTACTIC PATTERN RECOGNITION." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12, no. 01 (2004): 89–104. http://dx.doi.org/10.1142/s0218488504002679.

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[Formula: see text]–fuzzy acceptors in relationship with formal [Formula: see text]–fuzzy languages and [Formula: see text]–fuzzy grammars are studied, where [Formula: see text] is a bounded chain. Applications of fuzzy linguistic methods in syntactic pattern recognition are described.
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31

Zhao, Fei, and Si Zong Guo. "Lp-Type of Weighted Fuzzy Number Metrics Induced by Fuzzy Structured Element." Advanced Materials Research 981 (July 2014): 279–86. http://dx.doi.org/10.4028/www.scientific.net/amr.981.279.

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For the objective fact that elements with different membership degrees should have different contribution to the metric measure between fuzzy numbers, this paper presents Lp-type of fuzzy number metrics weighted by structured element. Firstly, we define a metric weighted by structured element on the family (B[-1,1]) of all the same monotone and standard bounded functions on closed interval [-1,1] , and discuss the completeness and separability of those metric spaces; Next, using the fuzzy functional induced by normal fuzzy structured element, we give out a method that the metric of the closed bounded fuzzy number space is induced by the metric on function space B[-1,1]. Furthermore, a fuzzy number metric weighted by structured element which is induced by is presented ,and analyze completeness and separability of the induced fuzzy number metric spaces; Lastly, the difference and relationship between and the metric defined by traditional method are shown.
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32

Kanwal, Shazia, and Akbar Azam. "Bounded lattice fuzzy coincidence theorems with applications." Journal of Intelligent & Fuzzy Systems 36, no. 2 (2019): 1531–45. http://dx.doi.org/10.3233/jifs-181754.

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33

Moradi, Hamid Reza. "Bounded inverse theorems in fuzzy normed spaces." International Journal of Fuzzy Computation and Modelling 1, no. 4 (2015): 397. http://dx.doi.org/10.1504/ijfcm.2015.076268.

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34

Chang, Wen-Jun, Chao Fu, Dong-Ling Xu, and Min Xue. "Triangular bounded consistency of fuzzy preference relations." Information Sciences 479 (April 2019): 355–71. http://dx.doi.org/10.1016/j.ins.2018.12.029.

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35

Cui, Jiesheng. "A Degree of Bounded Mappings Between M-Fuzzifying Bornological Space." Advances in Computer and Materials Scienc Research 1, no. 1 (2024): 333. http://dx.doi.org/10.70114/acmsr.2024.1.1.p333.

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In this paper, we define the degree of bounded mappings between M-fuzzifying bornological spaces. This concept describes a mapping between M-fuzzifying bornological spaces to be a bounded mapping in some degree. Also, we generalize some properties with respect to bounded mappings in classical bornological spaces to the fuzzy setting
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36

Sadjadi, Ebrahim Navid, Danial Sadrian Zadeh, Behzad Moshiri, Jesús García Herrero, Jose Manuel Molina López, and Roemi Fernández. "Application of Smooth Fuzzy Model in Image Denoising and Edge Detection." Mathematics 10, no. 14 (2022): 2421. http://dx.doi.org/10.3390/math10142421.

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In this paper, the bounded variation property of fuzzy models with smooth compositions have been studied, and they have been compared with the standard fuzzy composition (e.g., min–max). Moreover, the contribution of the bounded variation of the smooth fuzzy model for the noise removal and edge preservation of the digital images has been investigated. Different simulations on the test images have been employed to verify the results. The performance index related to the detected edges of the smooth fuzzy models in the presence of both Gaussian and Impulse (also known as salt-and-pepper noise) noises of different densities has been found to be higher than the standard well-known fuzzy models (e.g., min–max composition), which demonstrates the efficiency of smooth compositions in comparison to the standard composition.
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37

Bag, T., and S. K. Samanta. "Fuzzy bounded linear operators in Felbin's type fuzzy normed linear spaces." Fuzzy Sets and Systems 159, no. 6 (2008): 685–707. http://dx.doi.org/10.1016/j.fss.2007.09.006.

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38

R. Kider, Jehad, and Rami M. Jameel. "Fuzzy Bounded and Continuous Linear Operators on Standard Fuzzy Normed Spacesa." Engineering and Technology Journal 33, no. 2B (2015): 178–85. http://dx.doi.org/10.30684/etj.33.2b.2.

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39

Wang, Hua Dong, Si Cong Guo, Seyed Mojtaba Hosseini Bamakan, and Yong Shi. "Homeomorphism Problems of Fuzzy Real Number Space and The Space of Bounded Functions with Same Monotonicity on [-1,1]." International Journal of Computers Communications & Control 10, no. 6 (2015): 129. http://dx.doi.org/10.15837/ijccc.2015.6.2079.

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<p>In this paper, based on the fuzzy structured element, we prove that there is a bijection function between the fuzzy number space ε1 and the space B[−1, 1], which defined as a set of standard monotonic bounded functions with monotonicity on interval [−1, 1]. Furthermore, a new approach based upon the monotonic bounded functions has been proposed to create fuzzy numbers and represent them by suing fuzzy structured element. In order to make two different metrics based space in B[−1, 1], Hausdorff metric and Lp metric, which both are classical functional metrics, are adopted and their topological properties are discussed. In addition, by the means of introducing fuzzy functional to space B[−1, 1], we present two new fuzzy number’s metrics. Finally, according to the proof of homeomorphism between fuzzy number space ε1 and the space B[−1, 1], it’s argued that not only does it give a new way to study the fuzzy analysis theory, but also makes the study of fuzzy number space easier.</p>
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40

Nădăban, Sorin. "Fuzzy Continuous Mappings on Fuzzy F-spaces." Mathematics 10, no. 20 (2022): 3746. http://dx.doi.org/10.3390/math10203746.

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In the present paper, we first introduce different types of fuzzy continuity for mappings between fuzzy F-normed linear spaces and the relations between them are investigated. Secondly, the principles of fuzzy functional analysis are established in the context of fuzzy F-spaces. More precisely, based on the fact that fuzzy continuity and topological continuity are equivalent, we obtain the closed graph theorem and the open mapping theorem. Using Zabreiko’s lemma, we prove the uniform bounded principle and Banach–Steinhaus theorem. Finally, some future research directions are presented.
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41

Y. S. Pawar and S. S. Khopade. "Spectrum of fuzzy prime filters of a 0 - distributive lattice." Malaya Journal of Matematik 3, no. 04 (2015): 591–97. http://dx.doi.org/10.26637/mjm304/017.

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42

Zhang, Yujing, and Kaiyun Wang. "Bounded sobriety and k-bounded sobriety of Q-cotopological spaces." Filomat 33, no. 7 (2019): 2095–106. http://dx.doi.org/10.2298/fil1907095z.

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In this paper, we extend bounded sobriety and k-bounded sobriety to the setting of Q-cotopological spaces, whereQis a commutative and integral quantale. The main results are: (1) The category BSobQ-CTop of all bounded sober Q-cotopological spaces is a full reflective subcategory of the category SQ-CTop of all stratified Q-cotopological spaces; (2) We present the relationships among Hausdorff, T1, sobriety, bounded sobriety and k-bounded sobriety in the setting ofQ-cotopological spaces; (3) For a linearly ordered quantale Q, a topological space X is bounded (resp., k-bounded) sober if and only if the corresponding Q-cotopological space ?Q(X) is bounded (resp., k-bounded) sober, where ?Q : Top ? SQ-CTop is the well-known Lowen functor in fuzzy topology.
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43

Yan, Zhiguo, Zhiwei Zhang, Guolin Hu, and Baolong Zhu. "Observer-Based Finite-Time H∞ Control of the Blood Gases System in Extracorporeal Circulation via the T-S Fuzzy Model." Mathematics 10, no. 12 (2022): 2102. http://dx.doi.org/10.3390/math10122102.

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This paper studies the problem of the finite-time H∞ control of the blood gases system, presented as a T-S fuzzy model with bounded disturbance during extracorporeal circulation. The aim was to design an observer-based fuzzy controller to ensure that the closed-loop system was finite-time bounded with the H∞ performance. Firstly, different from the existing results, the T-S fuzzy model of a blood gas control system was developed and a new method was given to process the time derivatives of the membership functions. Secondly, based on the fuzzy Lyapunov function, sufficient conditions for the H∞ finite-time boundedness of the system were obtained by using Finsler’s lemma and matrix decoupling techniques. Simulation results are provided to demonstrate the effectiveness of the proposed methodology.
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44

Ma, Zhen Ming. "The Lattice of Intuitionistic Fuzzy Filters in Residuated Lattices." Journal of Applied Mathematics 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/798670.

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The notion of tip-extended pair of intuitionistic fuzzy filters is introduced by which it is proved that the set of all intuitionistic fuzzy filters in a residuated lattice forms a bounded distributive lattice.
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45

Ahsanullah, T. M. G., and Fawzi A. Al-Thukair. "Characterization of fuzzy neighborhood commutative division rings II." International Journal of Mathematics and Mathematical Sciences 18, no. 2 (1995): 323–30. http://dx.doi.org/10.1155/s016117129500041x.

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In [4] we produced a characterization of fuzzy neighborhood commutative division rings; here we present another characterization of it in a sense that we minimize the conditions so that a fuzzy neighborhood system is compatible with the commutative division ring structure. As an additional result, we show that Chadwick [5] relatively compact fuzzy set is bounded in a fuzzy neighborhood commutative division ring.
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46

Deeba, Elias, and Andre De Korvin. "A new approach for studying fuzzy functional equations." International Journal of Mathematics and Mathematical Sciences 28, no. 12 (2001): 733–41. http://dx.doi.org/10.1155/s0161171201006639.

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We define the concept of a “largest” and a “smallest” solution to an underlying equation and then show that a fuzzy solution of the corresponding fuzzy equation is bounded above and below by these solutions, respectively.
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47

Kadak, Uğur, and Muharrem Ozluk. "Some New Sets of Sequences of Fuzzy Numbers with Respect to the Partial Metric." Scientific World Journal 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/735703.

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In this paper, we essentially deal with Köthe-Toeplitz duals of fuzzy level sets defined using a partial metric. Since the utilization of Zadeh’s extension principle is quite difficult in practice, we prefer the idea of level sets in order to construct some classical notions. In this paper, we present the sets of bounded, convergent, and null series and the set of sequences of bounded variation of fuzzy level sets, based on the partial metric. We examine the relationships between these sets and their classical forms and give some properties including definitions, propositions, and various kinds of partial metric spaces of fuzzy level sets. Furthermore, we study some of their properties like completeness and duality. Finally, we obtain the Köthe-Toeplitz duals of fuzzy level sets with respect to the partial metric based on a partial ordering.
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48

陈, 强. "A Study of Fuzzy Ordered Bounded Linear Operators on Fuzzy Riesz Spaces." Pure Mathematics 14, no. 03 (2024): 74–82. http://dx.doi.org/10.12677/pm.2024.143086.

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49

Khudhair, Zainab A. "The Properties of the Spectrals of Fuzzy Compact Linear Operators." International Journal of Neutrosophic Science 23, no. 2 (2024): 238–43. http://dx.doi.org/10.54216/ijns.230219.

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The objective of this paper is to present a novel approach for the a-fuzzy standardized area and its fundamental characteristics with basic attributes of fuzzy compact and fuzzy bounded linear functions. Also, it presents some of the basic attributes of the spectral of fuzzy compact linear functions in terms of theorems that clearly draw the elementary properties of these functions and the mathematical relationships between them.
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50

Abbas, Fadhil, and Hassan A. Alhayo. "Fuzzy ideal topological vector spaces." Mathematica Slovaca 72, no. 4 (2021): 993–1000. http://dx.doi.org/10.1515/ms-2022-0069.

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Abstract In this paper, we introduce the concept of fuzzy ideal topological vector spaces and study the basic properties of fuzzy-I-open and fuzzy-I-closed sets in fuzzy ideal topological vector spaces. Also, we study the properties of fuzzy-I-Hausdorff and fuzzy-I-compact in fuzzy ideal topological vector spaces. Furthermore, we introduce the concepts of fuzzy-I-homogenous space, fuzzy-I-monomorphism space, fuzzy-I-isomorphism space and fuzzy-I-automorphism space. Finally, we introduce the concepts of fuzzy-I-bounded set, fuzzy-I-balanced set, fuzzy-I-symmetric set and study their properties in fuzzy ideal topological vector spaces.
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