OTHERS_CITABLE Integrating Goal Programming, Taylor Series, Kuhn-Tucker Conditions, and Penalty Function Approaches to Solve Linear Fractional Bi-level Programming Problems In this paper, we integrate goal programming (GP), Taylor Series, Kuhn-Tucker conditions and Penalty Function approaches to solve linear fractional bi-level programming (LFBLP)problems. As we know, the Taylor Series is having the property of transforming fractional functions to a polynomial. In the present article by Taylor Series we obtain polynomial objective functions which are equivalent to fractional objective functions. Then on using the Kuhn-Tucker optimality condition of the lower level problem, we transform the linear bilevel programming problem into a corresponding single level programming. The complementary and slackness condition of the lower level problem is appended to the upper level objective with a penalty, that can be reduce to a single objective function. In the other words, suitable transformations can be applied to formulate FBLP problems. Finally a numerical example is given to illustrate the complexity of the procedure to the solution. http://ijmsi.ir/article-1-281-en.pdf 2015-04-29T10:20:15 1 10 10.7508/ijmsi.2015.01.001 Bi-level programming Fractional programming Taylor Series Kuhn-Tucker conditions Goal programming Penalty function. M. Saraj msaraj@scu.ac.ir 1 Shahid Chamran University AUTHOR N. Safaei n_safaei@ymail.com 2 Shahid Chamran University AUTHOR
OTHERS_CITABLE Optimal Linear Codes Over GF(7) and GF(11) with Dimension 3 Let \$n_q(k,d)\$ denote the smallest value of \$n\$ for which there exists a linear \$[n,k,d]\$-code over the Galois field \$GF(q)\$. An \$[n,k,d]\$-code whose length is equal to \$n_q(k,d)\$ is called {em optimal}. In this paper we present some matrix generators for the family of optimal \$[n,3,d]\$ codes over \$GF(7)\$ and \$GF(11)\$. Most of our given codes in \$GF(7)\$ are non-isomorphic with the codes presented before. Our given codes in \$GF(11)\$ are all new. http://ijmsi.ir/article-1-384-en.pdf 2015-04-29T10:20:15 11 22 10.7508/ijmsi.2015.01.002 Linear codes Optimal codes Griesmer bound. M. Emami mojgan.emami@yahoo.com 1 Univ. of Zanjan AUTHOR L. pedram leilapedram@yahoo.com 2 Univ. of Zanjan AUTHOR
OTHERS_CITABLE OD-characterization of Almost Simple Groups Related to displaystyle D4(4) Let \$G\$ be a finite group and \$pi_{e}(G)\$ be the set of orders of all elements in \$G\$. The set \$pi_{e}(G)\$ determines the prime graph (or Grunberg-Kegel graph) \$Gamma(G)\$ whose vertex set is \$pi(G)\$, the set of primes dividing the order of \$G\$, and two vertices \$p\$ and \$q\$ are adjacent if and only if \$pqinpi_{e}(G)\$. The degree \$deg(p)\$ of a vertex \$pin pi(G)\$, is the number of edges incident on \$p\$. Let \$pi(G)={p_{1},p_{2},...,p_{k}}\$ with \$p_{1} http://ijmsi.ir/article-1-382-en.pdf 2015-04-29T10:20:15 23 43 10.7508/ijmsi.2015.01.003 Degree pattern \$k\$-fold OD-characterizable Almost simple group. G. R. Rezaeezadeh rezaeezadeh@sci.sku.ac.ir 1 university of shahrekord AUTHOR M. R. Darafsheh darafsheh@ut.ac.ir 2 university of tehran AUTHOR M. Bibak m.bibak62@gmail.com 3 university of shahrekord AUTHOR M. Sajadi sajadi−mas@yahoo.com 4 university of shahrekord AUTHOR
OTHERS_CITABLE Associated Graphs of Modules Over Commutative Rings Let \$R\$ be a commutative ring with identity and let \$M\$ be an \$R\$-module. In this paper we introduce a new graph associated to modules over commutative rings. We study the relationship between the algebraic properties of modules and their associated graphs. A topological characterization for the completeness of the special subgraphs is presented. Also modules whose associated graph is complete, tree or complete bipartite are studied and several characterizations are given. http://ijmsi.ir/article-1-418-en.pdf 2015-04-29T10:20:15 45 58 10.7508/ijmsi.2015.01.004 Associated Graph of module Prime spectrum Connected graph Diameter. A. Abbasi aabbasi@guilan.ac.ir 1 Uni. Guilan AUTHOR H. Roshan-Shekalgourabi hroshan@guilan.ac.ir 2 Uni. Guilan AUTHOR D. Hassanzadeh-Lelekaami dhmath@guilan.ac.ir 3 Uni. Guilan AUTHOR
OTHERS_CITABLE Filters and the Weakly Almost Periodic Compactification of a Semitopological Semigroup Let \$S\$ be a semitopological semigroup. The \$wap-\$ compactification of semigroup S, is a compact semitopological semigroup with certain universal properties relative to the original semigroup, and the \$Lmc-\$ compactification of semigroup \$S\$ is a universal semigroup compactification of \$S\$, which are denoted by \$S^{wap}\$ and \$S^{Lmc}\$ respectively. In this paper, an internal construction of the \$wap-\$compactification of a semitopological semigroup is constructed as a space of \$z-\$filters. Also we obtain the cardinality of \$S^{wap}\$ and show that if \$S^{wap}\$ is the one point compactification then \$(S^{Lmc}-S)*S^{Lmc}\$ is dense in \$S^{Lmc}-S\$. http://ijmsi.ir/article-1-437-en.pdf 2015-04-29T10:20:15 59 80 10.7508/ijmsi.2015.01.005 Semigroup compactification \$Lmc\$-compactification \$wap\$-compactification \$z\$-filter. M. Akbari Tootkaboni akbari@shahed.ac.ir 1 Shahed University AUTHOR
OTHERS_CITABLE Gravitational Search Algorithm to Solve the K-of-N Lifetime Problem in Two-Tiered WSNs Wireless Sensor Networks (WSNs) are networks of autonomous nodes used for monitoring an environment. In designing WSNs, one of the main issues is limited energy source for each sensor node. Hence, offering ways to optimize energy consumption in WSNs which eventually increases the network lifetime is strongly felt. Gravitational Search Algorithm (GSA) is a novel stochastic population-based meta-heuristic that has been successfully designed for solving continuous optimization problems. GSA has a flexible and well-balanced mechanism to enhance intensification (intensively explore areas of the search space with high quality solutions) and diversification (move to unexplored areas of the search space when necessary) abilities. In this paper, we will propose a GSA-based method for near-optimal positioning of Base Station (BS) in heterogeneous two-tiered WSNs, where Application Nodes (ANs) may own different data transmission rates, initial energies and parameter values. Here, we treat with the problem of positioning of BS in heterogeneous two-tiered WSNs as a continuous optimization problem and show that proposed GSA can locates the BS node in an appropriate near-optimal position of heterogeneous WSNs. From the experimental results, it can be easily concluded that the proposed approach finds the better location when compared to the PSO algorithm and the exhaustive search. http://ijmsi.ir/article-1-333-en.pdf 2015-04-29T10:20:15 81 93 10.7508/ijmsi.2015.01.006 Wireless sensor network (WSN) Two-tiered WSNs Base station location Energy consumption Network lifetime Gravitational search algorithm (GSA). M. Kuchaki Rafsanjani marjankuchaki@yahoo.com 1 Shahid Bahonar University of Kerman AUTHOR M. B. Dowlatshahi 2 Shahid Bahonar University of Kerman AUTHOR H. Nezamabadi-Pour 3 Shahid Bahonar University of Kerman AUTHOR
OTHERS_CITABLE Distance-Balanced Closure of Some Graphs In this paper we prove that any distance-balanced graph \$G\$ with \$Delta(G)geq |V(G)|-3\$ is regular. Also we define notion of distance-balanced closure of a graph and we find distance-balanced closures of trees \$T\$ with \$Delta(T)geq |V(T)|-3\$. http://ijmsi.ir/article-1-714-en.pdf 2015-04-29T10:20:15 95 102 10.7508/ijmsi.2015.01.007 Distances in graphs Distance-balanced graphs Distance-balanced closure. N. Ghareghani ghareghani@ut.ac.ir 1 University of Tehran AUTHOR B. Manoochehrian behzad@khayam.ut.ac.ir 2 University of Tehran AUTHOR M. Mohammad-Noori morteza@ipm.ir 3 University of Tehran AUTHOR
OTHERS_CITABLE (\$phi,rho\$)-Representation of \$Gamma\$-So-Rings A \$Gamma\$-so-ring is a structure possessing a natural partial ordering, an infinitary partial addition and a ternary multiplication, subject to a set of axioms. The partial functions under disjoint-domain sums and functional composition is a \$Gamma\$-so-ring. In this paper we introduce the notions of subdirect product and \$(phi,rho)\$-product of \$Gamma\$-so-rings and study \$(phi,rho)\$-representation of \$Gamma\$-so-rings. http://ijmsi.ir/article-1-465-en.pdf 2015-04-29T10:20:15 103 119 10.7508/ijmsi.2015.01.008 Subdirectly irreducible \$Gamma\$-so-ring Subdirect product \$(phi rho)\$-product of \$Gamma_i\$-so-rings \$(phi rho)\$-representation of a \$Gamma\$-so-ring. M. Siva Mala sivamala_aug9@yahoo.co.in 1 V.R.Siddhartha Engineering College, Kanuru AUTHOR K. Siva Prasad siva235prasad@yahoo.co.in 2 Acharya Nagarjuna University AUTHOR
OTHERS_CITABLE On Barycentric-Magic Graphs Let \$A\$ be an abelian group. A graph \$G=(V,E)\$ is said to be \$A\$-barycentric-magic if there exists a labeling \$l:E(G)longrightarrow Asetminuslbrace{0}rbrace\$ such that the induced vertex set labeling \$l^{+}:V(G)longrightarrow A\$ defined by \$l^{+}(v)=sum_{uvin E(G)}l(uv)\$ is a constant map and also satisfies that \$l^{+}(v)=deg(v)l(u_{v}v)\$ for all \$v in V\$, and for some vertex \$u_{v}\$ adjacent to \$v\$. In this paper we determine all \$hinmathbb{N}\$ for which a given graph G is \$mathbb{Z}_{h}\$-barycentric-magic and characterize \$mathbb{Z}_{h}\$-barycentric-magic labeling for some graphs containing vertices of degree 2 and 3. http://ijmsi.ir/article-1-487-en.pdf 2015-04-29T10:20:15 121 129 10.7508/ijmsi.2015.01.009 Magic graph Barycentric sequences Barycentric magic graph. M. T. Varela mtvarela@usb.ve 1 Universidad Simon Bolıvar AUTHOR
OTHERS_CITABLE On the 2-absorbing Submodules Let \$R\$ be a commutative ring and \$M\$ be an \$R\$-module. In this paper, we investigate some properties of 2-absorbing submodules of \$M\$. It is shown that \$N\$ is a 2-absorbing submodule of \$M\$ if and only if whenever \$IJLsubseteq N\$ for some ideals \$I,J\$ of R and a submodule \$L\$ of \$M\$, then \$ILsubseteq N\$ or \$JLsubseteq N\$ or \$IJsubseteq N:_RM\$. Also, if \$N\$ is a 2-absorbing submodule of \$M\$ and \$M/N\$ is Noetherian, then a chain of 2-absorbing submodules of \$M\$ is constructed. Furthermore, the annihilation of \$E(R/frak p)\$ is studied whenever \$0\$ is a 2-absorbing submodule of \$E(R/frak p)\$, where \$frak p\$ is a prime ideal of \$R\$ and \$E(R/frak p)\$ is an injective envelope of \$R/frak p\$. http://ijmsi.ir/article-1-512-en.pdf 2015-04-29T10:20:15 131 137 10.7508/ijmsi.2015.01.010 2-absorbing ideal 2-absorbing submodule A chain of 2-absorbing submodule. Sh. Payrovi shpayrovi@sci.ikiu.ac.ir 1 Imam Khomeini International University AUTHOR S. Babaei sbabaei@edu.ikiu.ac.ir 2 Imam Khomieni International University AUTHOR
OTHERS_CITABLE On Tensor Product of Graphs, Girth and Triangles The purpose of this paper is to obtain a necessary and sufficient condition for the tensor product of two or more graphs to be connected, bipartite or eulerian. Also, we present a characterization of the duplicate graph \$G 1 K_2\$ to be unicyclic. Finally, the girth and the formula for computing the number of triangles in the tensor product of graphs are worked out. http://ijmsi.ir/article-1-581-en.pdf 2015-04-29T10:20:15 139 147 10.7508/ijmsi.2015.01.011 Tensor product Bipartite graph Connected graph Eulerian graph Girth Cycle Path. H. P. Patil hpppondy@gmail.com 1 Pondicherry University AUTHOR V. Raja vraja.math@gmail.com 2 Pondicherru university AUTHOR
OTHERS_CITABLE Epi-Cesaro Convergence Since the turn of the century there have been several notions of convergence for subsets of metric spaces appear in the literature. Appearing in as a subset of these notions is the concepts of epi-convergence. In this paper we peresent definitions of epi-Cesaro convergence for sequences of lower semicontinuous functions from \$X\$ to \$[-infty,infty]\$ and Kuratowski Cesaro convergence of sequences of sets. Also we characterize the connection between epi-Cesaro convergence of sequences of functions and Kuratowski Cesaro convergence of their epigarphs. http://ijmsi.ir/article-1-639-en.pdf 2015-04-29T10:20:15 149 155 10.7508/ijmsi.2015.01.012 Cesaro convergence Epi-convergence Epi-Cesaro convergence Lower semicontinuous function. F. Nuray fnuray@aku.edu.tr 1 Afyon Kocatepe University AUTHOR R. F. Patterson rpatters@unf.edu 2 University of North Florida AUTHOR
CASE_STUDY ABSTRACTS IN PERSIAN - Vol. 10, No. 1 Please see the full text contains the Pesian abstracts for this volume. http://ijmsi.ir/article-1-841-en.pdf 2016-01-27T10:20:15 157 169 Name of Authors in This Volume 1 jahade daneshgahi AUTHOR