Hai, Shexiang; Gong, Zengtai Calculus of linear fuzzy-number-valued functions using the generalized derivative and the Riemann integral of fuzzy \(n\)-cell-number-valued functions. (English) Zbl 1522.26024 Fuzzy Sets Syst. 429, 188-211 (2022). MSC: 26E50 26A42 PDFBibTeX XMLCite \textit{S. Hai} and \textit{Z. Gong}, Fuzzy Sets Syst. 429, 188--211 (2022; Zbl 1522.26024) Full Text: DOI
Osman, Mawia; Gong, Zengtai; Mustafa, Altyeb Mohammed; Yang, Hong Solving fuzzy \((1+ n)\)-dimensional Burgers’ equation. (English) Zbl 1494.35176 Adv. Difference Equ. 2021, Paper No. 219, 51 p. (2021). MSC: 35R13 65M55 PDFBibTeX XMLCite \textit{M. Osman} et al., Adv. Difference Equ. 2021, Paper No. 219, 51 p. (2021; Zbl 1494.35176) Full Text: DOI
Mustafa, Altyeb Mohammed; Gong, Zengtai; Osman, Mawia The solution of fuzzy variational problem and fuzzy optimal control problem under granular differentiability concept. (English) Zbl 1483.49036 Int. J. Comput. Math. 98, No. 8, 1495-1520 (2021). MSC: 49K99 49M99 PDFBibTeX XMLCite \textit{A. M. Mustafa} et al., Int. J. Comput. Math. 98, No. 8, 1495--1520 (2021; Zbl 1483.49036) Full Text: DOI
Gong, Zengtai; Xiao, Zhiyong Fuzzy complex numbers: representations, operations, and their analysis. (English) Zbl 1467.03020 Fuzzy Sets Syst. 417, 1-45 (2021). MSC: 03E72 26E50 PDFBibTeX XMLCite \textit{Z. Gong} and \textit{Z. Xiao}, Fuzzy Sets Syst. 417, 1--45 (2021; Zbl 1467.03020) Full Text: DOI
Osman, Mawia; Gong, Zengtai; Mustafa, Altyeb Mohammed Comparison of fuzzy Adomian decomposition method with fuzzy VIM for solving fuzzy heat-like and wave-like equations with variable coefficients. (English) Zbl 1485.65111 Adv. Difference Equ. 2020, Paper No. 327, 42 p. (2020). MSC: 65M99 35R13 26E50 03E72 PDFBibTeX XMLCite \textit{M. Osman} et al., Adv. Difference Equ. 2020, Paper No. 327, 42 p. (2020; Zbl 1485.65111) Full Text: DOI
Xie, Ting; Gong, Zengtai; Li, Dapeng Generalized derivatives and optimization problems for \(n\)-dimensional fuzzy-number-valued functions. (English) Zbl 1482.26053 Open Math. 18, 1451-1477 (2020). MSC: 26E50 PDFBibTeX XMLCite \textit{T. Xie} et al., Open Math. 18, 1451--1477 (2020; Zbl 1482.26053) Full Text: DOI
Hai, Shexiang; Gong, Zengtai; Chen, Zizhong Weighted pseudometric approximation of 2-dimensional fuzzy numbers by fuzzy 2-cell prismoid numbers preserving the centroid. (English) Zbl 1452.03116 Fuzzy Sets Syst. 387, 158-173 (2020). MSC: 03E72 26E50 PDFBibTeX XMLCite \textit{S. Hai} et al., Fuzzy Sets Syst. 387, 158--173 (2020; Zbl 1452.03116) Full Text: DOI
Gong, Zengtai; Lei, Wenjing; Liu, Kun; Qin, Na Weighted moving averages for a series of fuzzy numbers based on nonadditive measures with \(\sigma - \lambda\) rules and Choquet integral of fuzzy-number-valued function. (English) Zbl 1436.28013 J. Funct. Spaces 2020, Article ID 3013648, 11 p. (2020). MSC: 28E10 26E50 PDFBibTeX XMLCite \textit{Z. Gong} et al., J. Funct. Spaces 2020, Article ID 3013648, 11 p. (2020; Zbl 1436.28013) Full Text: DOI
Mustafa, Altyeb Mohammed; Gong, Zengtai; Osman, Mawia Fuzzy optimal control problem of several variables. (English) Zbl 1439.49043 Adv. Math. Phys. 2019, Article ID 2182640, 12 p. (2019). Reviewer: A. Omrane (Cayenne) MSC: 49K21 PDFBibTeX XMLCite \textit{A. M. Mustafa} et al., Adv. Math. Phys. 2019, Article ID 2182640, 12 p. (2019; Zbl 1439.49043) Full Text: DOI
Xie, Ting; Gong, Zengtai Variational-like inequalities for \(n\)-dimensional fuzzy-vector-valued functions and fuzzy optimization. (English) Zbl 1425.90143 Open Math. 17, 627-645 (2019). MSC: 90C70 49J40 26E50 PDFBibTeX XMLCite \textit{T. Xie} and \textit{Z. Gong}, Open Math. 17, 627--645 (2019; Zbl 1425.90143) Full Text: DOI
Shao, Yabin; Mou, Qiong; Gong, Zengtai On retarded fuzzy functional differential equations and nonabsolute fuzzy integrals. (English) Zbl 1423.26058 Fuzzy Sets Syst. 375, 121-140 (2019). MSC: 26E50 34K36 PDFBibTeX XMLCite \textit{Y. Shao} et al., Fuzzy Sets Syst. 375, 121--140 (2019; Zbl 1423.26058) Full Text: DOI
Yang, Hong; Gong, Zengtai Ill-posedness for fuzzy Fredholm integral equations of the first kind and regularization methods. (English) Zbl 1423.45001 Fuzzy Sets Syst. 358, 132-149 (2019). MSC: 45B05 PDFBibTeX XMLCite \textit{H. Yang} and \textit{Z. Gong}, Fuzzy Sets Syst. 358, 132--149 (2019; Zbl 1423.45001) Full Text: DOI
Gong, Zengtai; Hao, Yadong Fuzzy Laplace transform based on the Henstock integral and its applications in discontinuous fuzzy systems. (English) Zbl 1423.34003 Fuzzy Sets Syst. 358, 1-28 (2019). MSC: 34A07 34A25 26E50 44A10 PDFBibTeX XMLCite \textit{Z. Gong} and \textit{Y. Hao}, Fuzzy Sets Syst. 358, 1--28 (2019; Zbl 1423.34003) Full Text: DOI
Xie, Ting; Gong, Zengtai Inequalities of Lyapunov and Stolarsky type for Choquet-like integrals with respect to nonmonotonic fuzzy measures. (English) Zbl 1408.28022 J. Funct. Spaces 2019, Article ID 4631530, 14 p. (2019). MSC: 28E10 PDFBibTeX XMLCite \textit{T. Xie} and \textit{Z. Gong}, J. Funct. Spaces 2019, Article ID 4631530, 14 p. (2019; Zbl 1408.28022) Full Text: DOI
Wang, Qian; Gong, Zengtai An application of fuzzy hypergraphs and hypergraphs in granular computing. (English) Zbl 1436.68361 Inf. Sci. 429, 296-314 (2018). MSC: 68T37 05C65 05C72 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{Z. Gong}, Inf. Sci. 429, 296--314 (2018; Zbl 1436.68361) Full Text: DOI
Shao, Ya-Bin; Gong, Zeng-Tai; Chen, Zi-Zhong On the existence of generalized weak solutions to discontinuous fuzzy differential equations. (English) Zbl 1412.34004 J. Nonlinear Sci. Appl. 10, No. 12, 6274-6287 (2017). MSC: 34A07 PDFBibTeX XMLCite \textit{Y.-B. Shao} et al., J. Nonlinear Sci. Appl. 10, No. 12, 6274--6287 (2017; Zbl 1412.34004) Full Text: DOI
Shao, Ya-Bin; Gong, Zeng-Tai; Chen, Zi-Zhong On generalized solutions for discontinuous fuzzy differential equations and strong fuzzy Henstock integrals. (English) Zbl 1415.34004 J. Nonlinear Sci. Appl. 10, No. 4, 2181-2195 (2017). MSC: 34A07 26E50 PDFBibTeX XMLCite \textit{Y.-B. Shao} et al., J. Nonlinear Sci. Appl. 10, No. 4, 2181--2195 (2017; Zbl 1415.34004) Full Text: DOI
Ma, Qiang; Shao, Ya-Bin; Gong, Zeng-Tai The Cauchy problems for discontinuous fuzzy systems under generalized differentiability. (English) Zbl 1412.34002 J. Nonlinear Sci. Appl. 10, No. 4, 2133-2143 (2017). MSC: 34A07 PDFBibTeX XMLCite \textit{Q. Ma} et al., J. Nonlinear Sci. Appl. 10, No. 4, 2133--2143 (2017; Zbl 1412.34002) Full Text: DOI
Shao, Yabin; Gong, Zengtai; Li, Juan Controlled convergence theorems for infinite dimension Henstock integrals of fuzzy valued functions based on weak equi-integrability. (English) Zbl 1382.26028 Fuzzy Sets Syst. 327, 69-97 (2017). MSC: 26E50 28E10 PDFBibTeX XMLCite \textit{Y. Shao} et al., Fuzzy Sets Syst. 327, 69--97 (2017; Zbl 1382.26028) Full Text: DOI
Hai, Shexiang; Gong, Zengtai; Li, Hongxia Generalized differentiability for \(n\)-dimensional fuzzy-number-valued functions and fuzzy optimization. (English) Zbl 1428.26059 Inf. Sci. 374, 151-163 (2016). MSC: 26E50 90C70 PDFBibTeX XMLCite \textit{S. Hai} et al., Inf. Sci. 374, 151--163 (2016; Zbl 1428.26059) Full Text: DOI
Gong, Zengtai; Yang, Hong Ill-posed fuzzy initial-boundary value problems based on generalized differentiability and regularization. (English) Zbl 1375.35623 Fuzzy Sets Syst. 295, 99-113 (2016). MSC: 35R13 35R30 PDFBibTeX XMLCite \textit{Z. Gong} and \textit{H. Yang}, Fuzzy Sets Syst. 295, 99--113 (2016; Zbl 1375.35623) Full Text: DOI
Gong, Zengtai; Hai, Shexiang Convexity of \(n\)-dimensional fuzzy number-valued functions and its applications. (English) Zbl 1374.26076 Fuzzy Sets Syst. 295, 19-36 (2016). MSC: 26E50 PDFBibTeX XMLCite \textit{Z. Gong} and \textit{S. Hai}, Fuzzy Sets Syst. 295, 19--36 (2016; Zbl 1374.26076) Full Text: DOI
Gong, Zengtai; Chai, Runli Covering multigranulation trapezoidal fuzzy decision-theoretic rough fuzzy set models and applications. (English) Zbl 1366.68323 J. Intell. Fuzzy Syst. 31, No. 3, 1621-1633 (2016). MSC: 68T37 91B06 PDFBibTeX XMLCite \textit{Z. Gong} and \textit{R. Chai}, J. Intell. Fuzzy Syst. 31, No. 3, 1621--1633 (2016; Zbl 1366.68323) Full Text: DOI
Gong, Zengtai; Zhang, Lu; Zhu, Xinyun The statistical convergence for sequences of fuzzy-number-valued functions. (English) Zbl 1360.40005 Inf. Sci. 295, 182-195 (2015). MSC: 40A35 26E50 PDFBibTeX XMLCite \textit{Z. Gong} et al., Inf. Sci. 295, 182--195 (2015; Zbl 1360.40005) Full Text: DOI
Gong, Zengtai; Hai, Shexiang The interval-valued trapezoidal approximation of interval-valued fuzzy numbers and its application in fuzzy risk analysis. (English) Zbl 1437.03154 J. Appl. Math. 2014, Article ID 254853, 22 p. (2014). MSC: 03E72 91B05 91B86 PDFBibTeX XMLCite \textit{Z. Gong} and \textit{S. Hai}, J. Appl. Math. 2014, Article ID 254853, 22 p. (2014; Zbl 1437.03154) Full Text: DOI
Gong, Zengtai; Chen, Li; Duan, Gang Choquet integral of fuzzy-number-valued functions: the differentiability of the primitive with respect to fuzzy measures and Choquet integral equations. (English) Zbl 1474.28029 Abstr. Appl. Anal. 2014, Article ID 953893, 11 p. (2014). MSC: 28E10 26E50 45N05 PDFBibTeX XMLCite \textit{Z. Gong} et al., Abstr. Appl. Anal. 2014, Article ID 953893, 11 p. (2014; Zbl 1474.28029) Full Text: DOI
Gong, Zengtai; Guo, Xiaobin; Liu, Kun Approximate solution of dual fuzzy matrix equations. (English) Zbl 1339.65047 Inf. Sci. 266, 112-133 (2014). MSC: 65F10 15B15 15A24 PDFBibTeX XMLCite \textit{Z. Gong} et al., Inf. Sci. 266, 112--133 (2014; Zbl 1339.65047) Full Text: DOI
Shao, Ya-Bin; Zhang, Huan-Huan; Gong, Zeng-Tai The generalized solution for initial problems of fuzzy discontinuous differential equations. (English) Zbl 1308.34007 Cao, Bing-Yuan (ed.) et al., Fuzzy information and engineering and operations research and management. Based on the presentations at the 6th international conference, ICFIE 2012, Babolsar, Iran, October 25–26, 2012 and at the 6th academic conference on fuzzy information and engineering branch of Operation Research Society of China (FIEBORSC 2012), Shenzhen, China, December 18–24, 2012. Berlin: Springer (ISBN 978-3-642-38666-4/pbk; 978-3-642-38667-1/ebook). Advances in Intelligent Systems and Computing 211, 229-240 (2014). MSC: 34A07 34C15 PDFBibTeX XMLCite \textit{Y.-B. Shao} et al., Adv. Intell. Syst. Comput. 211, 229--240 (2014; Zbl 1308.34007) Full Text: DOI
Gong, Zengtai; Wang, Liangliang The Henstock-Stieltjes integral for fuzzy-number-valued functions. (English) Zbl 1250.28014 Inf. Sci. 188, 276-297 (2012). MSC: 28E10 PDFBibTeX XMLCite \textit{Z. Gong} and \textit{L. Wang}, Inf. Sci. 188, 276--297 (2012; Zbl 1250.28014) Full Text: DOI
Gong, Zengtai; Guo, Xiaobin Inconsistent fuzzy matrix equations and its fuzzy least squares solutions. (English) Zbl 1211.15038 Appl. Math. Modelling 35, No. 3, 1456-1469 (2011). MSC: 15B15 15A24 65F20 PDFBibTeX XMLCite \textit{Z. Gong} and \textit{X. Guo}, Appl. Math. Modelling 35, No. 3, 1456--1469 (2011; Zbl 1211.15038) Full Text: DOI
Shi, Zhanhong; Gong, Zengtai The further investigation of covering-based rough sets: uncertainty characterization, similarity measure and generalized models. (English) Zbl 1205.68430 Inf. Sci. 180, No. 19, 3745-3763 (2010). MSC: 68T37 03E72 PDFBibTeX XMLCite \textit{Z. Shi} and \textit{Z. Gong}, Inf. Sci. 180, No. 19, 3745--3763 (2010; Zbl 1205.68430) Full Text: DOI
Gong, Zengtai; Xiao, Zhiyong Communicating between information systems based on including degrees. (English) Zbl 1194.93115 Int. J. Gen. Syst. 39, No. 2, 189-206 (2010). MSC: 93C42 68T37 93A30 PDFBibTeX XMLCite \textit{Z. Gong} and \textit{Z. Xiao}, Int. J. Gen. Syst. 39, No. 2, 189--206 (2010; Zbl 1194.93115) Full Text: DOI
Gong, Zengtai; Shao, Yabin Global existence and uniqueness of solutions for fuzzy differential equations under dissipative-type conditions. (English) Zbl 1165.34303 Comput. Math. Appl. 56, No. 10, 2716-2723 (2008). MSC: 34A12 26E50 PDFBibTeX XMLCite \textit{Z. Gong} and \textit{Y. Shao}, Comput. Math. Appl. 56, No. 10, 2716--2723 (2008; Zbl 1165.34303) Full Text: DOI
Sun, Bingzhen; Gong, Zengtai; Chen, Degang Fuzzy rough set theory for the interval-valued fuzzy information systems. (English) Zbl 1149.68434 Inf. Sci. 178, No. 13, 2794-2815 (2008). MSC: 68T37 68T30 68U35 PDFBibTeX XMLCite \textit{B. Sun} et al., Inf. Sci. 178, No. 13, 2794--2815 (2008; Zbl 1149.68434) Full Text: DOI
Gong, Zengtai; Sun, Bingzhen; Chen, Degang Rough set theory for the interval-valued fuzzy information systems. (English) Zbl 1138.68564 Inf. Sci. 178, No. 8, 1968-1985 (2008). MSC: 68T30 68T37 68U35 PDFBibTeX XMLCite \textit{Z. Gong} et al., Inf. Sci. 178, No. 8, 1968--1985 (2008; Zbl 1138.68564) Full Text: DOI
Gong, Zengtai; Wang, Ling The numerical calculus of expectations of fuzzy random variables. (English) Zbl 1115.60023 Fuzzy Sets Syst. 158, No. 7, 722-738 (2007). MSC: 60E99 PDFBibTeX XMLCite \textit{Z. Gong} and \textit{L. Wang}, Fuzzy Sets Syst. 158, No. 7, 722--738 (2007; Zbl 1115.60023) Full Text: DOI