###### Set-Valued Lebesgue and Riesz Type Theorems

## Abstract

In this paper, we continue a previous study concerning different types of pseudo-convergences of sequences of measurable functions with respect to set-valued nonadditive monotonic set functions and we establish some pseudo-versions of Lebesgue and Riesz theorems in the set-valued case. We also characterize some important structural properties of fuzzy multimeasures.

###### On existence of nonassociative LA-ring

References [1] GAP - Groups, Algorithms and Programming. Version 4.4.12. 2008. http://www.gap-system.org [2] McCune W. Prover9 and MACE4. http://www.cs.unm.edu/mccune/mace4/ [3] Shah M, Ali A. Some structural properties of AG-group. Int. Math. Forum, 2011, 6(34): 1661-1667 [4] Shah M, Gretton C, Sorge V. Enumerating AG-groups with an introduction to Samarandache AG-groups. Int. Math. Forum 2011, 6(62): 30793086 [5] Shah M, Shah T. Some basic properties of LA-rings. Int. Math

###### Strong sequences and partition relations

References [1] Baumgartner, James E., and Alan D. Taylor, and Stanley Wagon. Structural properties of ideals . Vol 197 of Dissertationes Math. (Rozprawy Mat.). Warszawa: PWN–Polish Scientific Publishers, 1982. Cited on 51. [2] Comfort, W. Wistar, and Stylianos A. Negrepontis. Chain conditions in topology . Vol 79 of Cambridge Tracts in Mathematics. Cambridge-New York: Cambridge University Press, 1982. Cited on 51, 53, 56 and 58. [3] Efimov, B. A. “Dyadic bicompacta.” (Russian) Trudy Moskov. Mat. Obšč. 14 (1965): 211–247. Cited on 52

###### Influence of Anti-Browning Inhibitors and Biodegradable Packaging on the Quality of Fresh-Cut Pears

., Grigelmo-Miguel, N., Hernando, I. (2002). Effect of minimal processing on the textural and structural properties of fresh-cut pears. J. Sci. Food Agric., 82, 1682-688. Son, S. M., Moon, K. D., Lee, C. Y. (2000). Rhubarb juice as a natural antibrowning agent. J. Food Sci., 65 (7), 1288-1289. Suttirak, W., Manurakchinakor, S., Walailak, J. (2010). Potential application of ascorbic acid, citric acid and oxalic acid for browning inhibition in fresh-cut fruits and vegetables. Sci. Technol., 7 (1), 5-14. Theerakulkait, C

###### Idempotent Elements of Weak Projection Generalized Hypersubstitutions

transformations defined by generalized hy- persubstitutions, Sci. Math. Jpn. Online 6 (2002) 355-366. [5] K. Denecke and S.L. Wismath, Hyperidentities and Clones (Gordon and Breach science Publishers, 2000). [6] K. Denecke and S.L. Wismath, Universal Algebra and Applications in Theoretical Computer Science (Boca Raton: Chapman & Hall/CRC, 2002). [7] J. Koppitz and K. Denecke, M-Solid Varieties of Algebras (Springer Science+ Business Media, Inc., 2006). [8] S. Leeratanavalee, Structural properties of generalized

###### Computing topological indices of the line graphs of Banana tree graph and Firecracker graph

mathematical approach Journal of Mathematical Chemistry 52 4 1059 1065 10.1007/s10910-013-0285-x [6] N. Cohen, D. Dimitrov, R. Krakovski, R. Škrekovski and V. Vukašinović, (2010), On Wiener Index of Graphs and Their Line Graphs , MATCH Communications in Mathematical and in Computer Chemistry, 64, No 3, 683-698. Cohen N. Dimitrov D. Krakovski R. Škrekovski R. Vukašinović V. 2010 On Wiener Index of Graphs and Their Line Graphs MATCH Communications in Mathematical and in Computer Chemistry 64 3 683 698 [7] D. Dimitrov, (2016), On structural properties of trees with

###### Revan and hyper-Revan indices of Octahedral and icosahedral networks

large number of topological indices which are classified based on the structural properties of the graphs used for their calculations. In general, they are classified into distance-based topological indices, degree-based topological indices and counting related indices of graphs. The degree-based topological indices, which have reliable predicting power and thus they have been employed in deriving multi-linear regression models for statistical correlation of properties. The topological indices such as atom-bond connectivity and geometric-arithmetic are also used to