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Journal articles on the topic 'Valued Set'

Author: Grafiati

Published: 5 June 2025

Last updated: 1 August 2025

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1

Fujita, Takaaki. "Triple-Valued Neutrosophic Set, Quadruple-Valued Neutrosophic Set, Quintuple-Valued Neutrosophic Set, and Double-valued Indetermsoft Set." Neutrosophic Systems with Applications 25, no. 5 (2025): 452. https://doi.org/10.63689/2993-7159.1276.

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2

Protasov, I. "Decompositions of set-valued mappings." Algebra and Discrete Mathematics 30, no. 2 (2020): 235–38. http://dx.doi.org/10.12958/adm1485.

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Let X be a set, BX denotes the family of all subsets of X and F:X→BX be a set-valued mapping such that x∈F(x), supx∈X|F(x)|<κ, supx∈X|F−1(x)|<κ for all x∈X and some infinite cardinal κ. Then there exists a family F of bijective selectors of F such that |F|<κ and F(x)={f(x):f∈F} for each x∈X. We apply this result to G-space representations of balleans.

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3

Wen-Xiu, Zhang, L. I. Teng, M. A. Ji-Feng, and L. I. Ai-Jie. "Set-valued measure and fuzzy set-valued measure." Fuzzy Sets and Systems 36, no. 1 (1990): 181–88. http://dx.doi.org/10.1016/0165-0114(90)90091-j.

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4

R, Hema, Sudharani R, and Kavitha M. "A Novel Approach on Plithogenic Interval Valued Neutrosophic Hypersoft Sets and its Application in Decision Making." Indian Journal of Science and Technology 16, no. 32 (2023): 2494–502. https://doi.org/10.17485/IJST/v16i32.1302.

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Abstract <strong>Objectives:</strong> In problem solving process, we have advanced the study of plithogenic interval valued neutrosophic hypersoft set, to analyse with all the appendages and traits under consideration for getting the better accuracy for the multi criterion decision making environment. <strong>Methods:</strong> Based on the combination of hypersoft sets, plithogenic sets and neutrosophic fuzzy sets, a plithogenic interval valued neutrosophic hypersoft set has been proposed. <strong>Findings:</strong> The tnorm , tconorm, accuracy function and plithogeni

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5

Abhishek, Kumar, and Germina K. Agustine. "Set-Valued Graphs." Journal of Fuzzy Set Valued Analysis 2012 (2012): 1–17. http://dx.doi.org/10.5899/2012/jfsva-00127.

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6

Nikodem, Kazimierz. "Set-Valued Means." Set-Valued and Variational Analysis 28, no. 3 (2020): 559–68. http://dx.doi.org/10.1007/s11228-020-00532-6.

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7

Li, Yongxin. "Set-valued homology." Topology and its Applications 83, no. 2 (1998): 149–58. http://dx.doi.org/10.1016/s0166-8641(97)00101-6.

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8

Li, Jun-Gang, and Shi-Qing Zheng. "Set-Valued Stochastic Equation with Set-Valued Square Integrable Martingale." ITM Web of Conferences 12 (2017): 03002. http://dx.doi.org/10.1051/itmconf/20171203002.

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9

Stojaković, Mila. "Set valued probability and its connection with set valued measure." Statistics & Probability Letters 82, no. 6 (2012): 1043–48. http://dx.doi.org/10.1016/j.spl.2012.02.021.

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10

Li, Shoumei, and Aihong Ren. "Representation theorems, set-valued and fuzzy set-valued Ito integral." Fuzzy Sets and Systems 158, no. 9 (2007): 949–62. http://dx.doi.org/10.1016/j.fss.2006.12.004.

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11

Zhang, Deli, Caimei Guo, Degang Chen, and Guijun Wang. "Jensen's inequalities for set-valued and fuzzy set-valued functions." Fuzzy Sets and Systems 404 (February 2021): 178–204. http://dx.doi.org/10.1016/j.fss.2020.06.003.

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12

Maas-Gariépy, Florence, and Rebecca Patrias. "Set-valued domino tableaux and shifted set-valued domino tableaux." Involve, a Journal of Mathematics 13, no. 5 (2020): 721–46. http://dx.doi.org/10.2140/involve.2020.13.721.

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13

Veselý, Libor. "Continuous selections of finite-set valued mappings." Czechoslovak Mathematical Journal 41, no. 3 (1991): 549–58. http://dx.doi.org/10.21136/cmj.1991.102488.

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14

王, 源. "Fuzzy Set-Valued Martingales and Fuzzy Set-Valued Square Integrable Martingales." Advances in Applied Mathematics 11, no. 01 (2022): 16–21. http://dx.doi.org/10.12677/aam.2022.111003.

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15

Jang, Lee-Chae, and Joong-Sung Kwon. "Convergences of sequences of set-valued and fuzzy-set-valued functions." Fuzzy Sets and Systems 93, no. 2 (1998): 241–46. http://dx.doi.org/10.1016/s0165-0114(96)00187-x.

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16

Artstein, Zvi. "A calculus for set-valued maps and set-valued evolution equations." Set-Valued Analysis 3, no. 3 (1995): 213–61. http://dx.doi.org/10.1007/bf01025922.

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17

Anjan, Mukherjee, Kanti Das Ajoy, and Saha Abhijit. "MORE ON INTERVAL-VALUED INTUITIONISTIC FUZZY SOFT MULTI SETS." Advances in Vision Computing: An International Journal (AVC) 2, no. 2 (2015): 01–21. https://doi.org/10.5281/zenodo.3591661.

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In 2013, Mukherje et al. developed the concept of interval-valued intuitionistic fuzzy soft multi set as a mathematical tool for making descriptions of the objective world more realistic, practical and accurate in some cases, making it very promising. In this paper we define some operations in interval-valued intuitionistic fuzzy soft multi set theory and show that the associative, distribution and De Morgan’s type of results hold in interval-valued intuitionistic fuzzy soft multi set theory for the newly defined operations in our way. Also, we define the necessity and possibility operat

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18

Szczawińska, Joanna. "Polynomial set-valued functions." Annales Polonici Mathematici 65, no. 1 (1996): 55–65. http://dx.doi.org/10.4064/ap-65-1-55-65.

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19

Abhishek, Kumar. "Set-Valued Graphs II." Journal of Fuzzy Set Valued Analysis 2013 (2013): 1–16. http://dx.doi.org/10.5899/2013/jfsva-00149.

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20

Góralczyk, Anna, and Jerzy Motyl. "Set-valued Stratonovich integral." Discussiones Mathematicae Probability and Statistics 26, no. 1 (2006): 63. http://dx.doi.org/10.7151/dmps.1075.

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21

Nasser, M. A., Deapo M. Al Rahal, and Esmail A. M. Alsharabi. "On Set-Valued Mappings." Alandalus Journal for Applied Sciences 7, no. 2 (2014): 90–141. http://dx.doi.org/10.12816/0028826.

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22

Aslam Noor, Muhammad. "Set-valued variational inequalities." Optimization 33, no. 2 (1995): 133–42. http://dx.doi.org/10.1080/02331939508844070.

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23

Kuroiwa, Daishi. "On set-valued optimization." Nonlinear Analysis: Theory, Methods & Applications 47, no. 2 (2001): 1395–400. http://dx.doi.org/10.1016/s0362-546x(01)00274-7.

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24

Fernández, F. R., M. A. Hinojosa, and J. Puerto. "Set-valued TU-games." European Journal of Operational Research 159, no. 1 (2004): 181–95. http://dx.doi.org/10.1016/s0377-2217(03)00398-9.

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25

Peris, Alfredo. "Set-valued discrete chaos." Chaos, Solitons & Fractals 26, no. 1 (2005): 19–23. http://dx.doi.org/10.1016/j.chaos.2004.12.039.

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26

Baier, Robert, and Gilbert Perria. "Set-valued Hermite interpolation." Journal of Approximation Theory 163, no. 10 (2011): 1349–72. http://dx.doi.org/10.1016/j.jat.2010.11.004.

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27

Tarafdar, E., and X. Z. Yuan. "Set-valued topological contractions." Applied Mathematics Letters 8, no. 6 (1995): 79–81. http://dx.doi.org/10.1016/0893-9659(95)00089-9.

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28

GUAN, Y., and H. WANG. "Set-valued information systems." Information Sciences 176, no. 17 (2006): 2507–25. http://dx.doi.org/10.1016/j.ins.2005.12.007.

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29

Candeloro, Domenico, Coenraad C. A. Labuschagne, Valeria Marraffa, and Anna Rita Sambucini. "Set-valued Brownian motion." Ricerche di Matematica 67, no. 2 (2018): 347–60. http://dx.doi.org/10.1007/s11587-018-0372-1.

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30

Sikorska, Justyna. "Set-valued Orthogonal Additivity." Set-Valued and Variational Analysis 23, no. 3 (2015): 547–57. http://dx.doi.org/10.1007/s11228-015-0321-z.

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31

Wang, Rongming, and Zhenpeng Wang. "Set-Valued Stationary Processes." Journal of Multivariate Analysis 63, no. 1 (1997): 180–98. http://dx.doi.org/10.1006/jmva.1997.1702.

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32

Wu, Wei-Zhi, Wen-Xiu Zhang, and Rong-Ming Wang. "Set Valued Bartle Integrals." Journal of Mathematical Analysis and Applications 255, no. 1 (2001): 1–20. http://dx.doi.org/10.1006/jmaa.2000.6976.

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33

Ostrovsky, A. V. "Set-valued stable maps." Topology and its Applications 104, no. 1-3 (2000): 227–36. http://dx.doi.org/10.1016/s0166-8641(99)00019-x.

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34

Zhang, Deli, Caimei Guo, Degang Chen, and Guijun Wang. "Choquet integral Jensen’s inequalities for set-valued and fuzzy set-valued functions." Soft Computing 25, no. 2 (2021): 903–18. http://dx.doi.org/10.1007/s00500-020-05568-2.

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35

Papageorgiou, Nikolaos S. "Contributions to the theory of set valued functions and set valued measures." Transactions of the American Mathematical Society 304, no. 1 (1987): 245. http://dx.doi.org/10.1090/s0002-9947-1987-0906815-3.

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36

Salahuddin, X., M. K. Ahmad, and Ravi P. Agarwal. "Set valued F-variational inequalities and set valued vector F-complementarity problems." Mathematical Inequalities & Applications, no. 2 (2013): 587–99. http://dx.doi.org/10.7153/mia-16-44.

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37

Papageorgiou, Nikolaos S. "On the theory of Banach space valued multifunctions. 2. Set valued martingales and set valued measures." Journal of Multivariate Analysis 17, no. 2 (1985): 207–27. http://dx.doi.org/10.1016/0047-259x(85)90079-x.

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38

Crespi, Giovanni Paolo, and Elisa Mastrogiacomo. "Qualitative robustness of set-valued value-at-risk." Mathematical Methods of Operations Research 91, no. 1 (2020): 25–54. http://dx.doi.org/10.1007/s00186-020-00707-9.

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39

Pechersky, Sergei, and Arkady Sobolev. "Set-valued nonlinear analogues of the shapley value." International Journal of Game Theory 24, no. 1 (1995): 57–78. http://dx.doi.org/10.1007/bf01258204.

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40

Mastrogiacomo, Elisa, and Matteo Rocca. "Set optimization of set-valued risk measures." Annals of Operations Research 296, no. 1-2 (2020): 291–314. http://dx.doi.org/10.1007/s10479-020-03541-8.

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41

Wang, Xun, Zhongzhan Zhang, and Shoumei Li. "Set-valued and interval-valued stationary time series." Journal of Multivariate Analysis 145 (March 2016): 208–23. http://dx.doi.org/10.1016/j.jmva.2015.12.010.

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42

Li, Shoumei, and Yukio Ogura. "Convergence of set-valued and fuzzy-valued martingales." Fuzzy Sets and Systems 101, no. 3 (1999): 453–61. http://dx.doi.org/10.1016/s0165-0114(97)00092-4.

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43

Huang, Yan, and Congxin Wu. "Real-valued Choquet integrals for set-valued mappings." International Journal of Approximate Reasoning 55, no. 2 (2014): 683–88. http://dx.doi.org/10.1016/j.ijar.2013.09.011.

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44

Huang, X. X. "Stability in vector-valued and set-valued optimization." Mathematical Methods of Operations Research (ZOR) 52, no. 2 (2000): 185–93. http://dx.doi.org/10.1007/s001860000085.

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45

WANG, Xiuling, and Xunhua GONG. "Subdifferentials for Set-valued Maps and Optimality Conditions for Set-valued Vector Optimization." Acta Analysis Functionalis Applicata 14, no. 1 (2012): 100. http://dx.doi.org/10.3724/sp.j.1160.2012.00100.

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46

Mohammed, Shehu Shagari, and Akbar Azam. "Fixed points of soft-set valued and fuzzy set-valued maps with applications." Journal of Intelligent & Fuzzy Systems 37, no. 3 (2019): 3865–77. http://dx.doi.org/10.3233/jifs-190126.

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47

Popovici, Nicolae. "Generalized quasiconvex set-valued maps." Journal of Numerical Analysis and Approximation Theory 31, no. 2 (2002): 199–206. http://dx.doi.org/10.33993/jnaat312-725.

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The aim of this paper is to introduce a concept of quasiconvexity for set-valued maps in a general framework, by only considering an abstract convexity structure in the domain and an arbitrary binary relation in the codomain. It is shown that this concept can be characterized in terms of usual quasiconvexity of certain real-valued functions. In particular, we focus on cone-quasiconvex set-valued maps with values in a partially ordered vector space.

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48

Rheem, Abdul, and Musheer Ahmad. "APPLICATION OF INTERVAL VALUED FUZZY SET AND SOFT SET." jnanabha 50, no. 02 (2020): 114–21. http://dx.doi.org/10.58250/jnanabha.2020.50213.

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Molodtsov was a father of soft set approach. We can’t easily settle the membership degree in some practical application. So it must be much better to describe interval-valued data instead of explaining membership degree. In this paper, we introduce the latest approach of the interval-valued fuzzy soft set by combining the interval-valued fuzzy set and soft set models. This approach successfully follows distributive, associative and DeMorgan’s laws as well. In the end, a decision problem is solved by this approach.

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49

Irfan, Deli. "Interval-valued neutrosophic soft sets and its decision making." February 23, 2014. https://doi.org/10.5281/zenodo.32261.

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In this paper, the notion of the interval valued neutrosophic soft sets (ivn−soft sets) is defined which is a combination of an interval valued neutrosophic sets [36] and a soft sets [30]. Our ivn−soft sets generalizes the concept of the soft set, fuzzy soft set, interval valued fuzzy soft set,intuitionistic fuzzy soft set, interval valued intuitionistic fuzzy soft set and neutrosophic soft set. Then, we introduce some definitions and operations on ivn−soft sets sets. Some properties of ivn−soft sets which are connected to operations have been e

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50

Henry, Garrett. "0020 | Notion of Valued Set." July 19, 2021. https://doi.org/10.20944/preprints202107.0410.v1.

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The aim of this article is to introduce the new notion on a given graph. The notions of valued set, valued function, valued graph and valued quotient are introduced. The attributes of these new notions are studied. Valued set is about the set of vertices which have the maximum number of neighbors. The kind of partition of the vertex set to the vertices of the valued set is introduced and its attributes are studied. The behaviors of classes of graphs under these new notions are studied and the algebraic operations on these sets in the different situations get new result to understand the classe

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