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NEW CONCEPTS OF REGULAR INTERVAL-VALUED FUZZY GRAPHS
A.A. TALEBI,HOSSEIN RASHMANLOU,Bijan Davvaz 한국전산응용수학회 2017 Journal of applied mathematics & informatics Vol.35 No.1
Recently, interval-valued fuzzy graph is a growing research topic as it is the generalization of fuzzy graphs. The interval-valued fuzzy graphs are more exible and compatible than fuzzy graphs due to the fact that they allowed the degree of membership of a vertex to an edge to be represented by interval values in [0:1] rather than the crisp values between 0 and 1. In this paper, we introduce the concepts of regular and totally regular interval-valued fuzzy graphs and discusses some properties of the - complement of interval-valued fuzzy graph. Self -complementary interval- valued fuzzy graphs and self-weak -complementary interval-valued fuzzy graphs are dened and a necessary condition for an interval valued fuzzy graph to be self -complementary is discussed. We dene busy vertices and free vertices in interval valued fuzzy graph and study their image under an isomorphism.
NEW CONCEPTS OF REGULAR INTERVAL-VALUED FUZZY GRAPHS
TALEBI, A.A.,RASHMANLOU, HOSSEIN,DAVVAZ, BIJAN The Korean Society for Computational and Applied M 2017 Journal of applied mathematics & informatics Vol.35 No.1
Recently, interval-valued fuzzy graph is a growing research topic as it is the generalization of fuzzy graphs. The interval-valued fuzzy graphs are more flexible and compatible than fuzzy graphs due to the fact that they allowed the degree of membership of a vertex to an edge to be represented by interval values in [0.1] rather than the crisp values between 0 and 1. In this paper, we introduce the concepts of regular and totally regular interval-valued fuzzy graphs and discusses some properties of the ${\mu}$-complement of interval-valued fuzzy graph. Self ${\mu}$-complementary interval-valued fuzzy graphs and self-weak ${\mu}$-complementary interval-valued fuzzy graphs are defined and a necessary condition for an interval valued fuzzy graph to be self ${\mu}$-complementary is discussed. We define busy vertices and free vertices in interval valued fuzzy graph and study their image under an isomorphism.
Some normal edge-transitive Cayley graphs on Frobenius groups F_(p, 3)
C. Adiga,A. A. Talebi,H. Ariamanesh 장전수학회 2012 Advanced Studies in Contemporary Mathematics Vol.22 No.3
Let G be a finite group and S a subset of G such that S = S^−1and 1_G ∈/ S. Then the Cayley graph Γ = Cay(G, S) relative to S is the graph with vertex set G and edge set E(Γ(G, S)) = {gh | hg^−1 ∈ S}. Since S is inverse closed and does not contain the identity, this graph is undirected and has no loops. A Cayley graph of a finite group G is called normal edge-transitive,if its automorphism group has a subgroup which both normalizes G and acts transitively on edges. In this paper we determine some normal edge-transitive Cayley Graphs on Frobenius Groups F_p,3, where p is a prime and 3 | p − 1.
NEW CONCEPTS OF PRODUCT INTERVAL-VALUED FUZZY GRAPH
TALEBI, A.A.,RASHMANLOU, HOSSEIN,AMERI, REZA The Korean Society for Computational and Applied M 2016 Journal of applied mathematics & informatics Vol.34 No.3
In this paper, we introduce product interval-valued fuzzy graphs and prove several results which are analogous to interval-valued fuzzy graphs. We conclude by giving properties for a product interval-valued fuzzy graph.
New Concepts of Product Interval-Valued Fuzzy Graph
A.A. Talebi,Hossein Rashmanlou,Reza Ameri 한국전산응용수학회 2016 Journal of applied mathematics & informatics Vol.34 No.3
In this paper, we introduce product interval-valued fuzzy graphs and prove several results which are analogous to interval-valued fuzzy graphs. We conclude by giving properties for a product interval-valued fuzzy graph.
Pourrostam, A.,Talebi, S.,Safarzadeh, O. Korean Nuclear Society 2021 Nuclear Engineering and Technology Vol.53 No.3
There has been a deep interest in trying to find better-performing fuel clad motivated by the desire to decrease the likelihood of the reactor barrier failure like what happened in Fukushima in recent years. In this study, the effect of move towards accident tolerant fuel (ATF) cladding as the most attracting concept for improving reactor safety is investigated for SMART modular reactor. These reactors have less production cost, short construction time, better safety and higher power density. The SiC and FeCrAl materials are considered as the most potential candidate for ATF cladding, and the results are compared with Zircaloy cladding material from reactor physics point of view. In this paper, the calculations are performed by generating PMAX library by DRAGON lattice physics code to be used for further reactor core analysis by PARCS code. The differential and integral worth of control and safety rods, reactivity coefficient, power and temperature distributions, and boric acid concentration during the cycle are analyzed and compared from the conventional fuel cladding. The rod ejection accident (REA) is also performed to study how the power changed in response to presence of the ATF cladding in the reactor core. The key quantitative finding can be summarized as: 20 ℃ (3%) decrease in average fuel temperature, 33 pcm (3%) increase in integral rod worth and cycle length, 1.26 pcm/℃ (50%) and 1.05 pcm/℃ (16%) increase in reactivity coefficient of fuel and moderator, respectively.
Genetic and Non-genetic Factors Affecting Mortality in Lori-Bakhtiari Lambs
Vatankhah, M.,Talebi, M.A. Asian Australasian Association of Animal Productio 2009 Animal Bioscience Vol.22 No.4
Data and pedigree information for Lori-Bakhtiari sheep used in this study were 6,239 records of lamb mortality from 246 sires and 1,721 dams, collected from 1989 through 2007 from a Lori-Bakhtiari flock at Shooli station in Shahrekord. The traits investigated were cumulative lamb mortality from birth up to 7 days, up to 14 days, up to 21 days, and up to 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 months of age. The models included fixed factors that had significant effects and random direct genetic, maternal genetic and maternal permanent environmental effects. Variance components were estimated using the restricted maximum likelihood procedure applying three animal models with and without maternal and common environmental effects. The overall mean of cumulative lamb mortality rate was 22.95% from birth to 1 year of age, while the overall mortality rate up to 3 and from 3 to 6 months of age was 6.14% and 12.76%, respectively. The mortality rate after 6 months of age declined as the lambs grew older. The age of dam had no important effect on lamb mortality. The type of birth was more important during the preweaning period than at later ages, and lamb mortality rate was higher in twins. The year of birth, month of birth and sex of lamb significantly (p${\leq}$0.01) affected the cumulative lamb mortality rate at all ages. The least square mean of mortality during the final one-third of the lambing period was higher than the first and middle onethird of the lambing period. Male lambs were found to be at a higher risk of mortality than females. Birth weight of the lamb had a highly significant (p${\leq}$0.01) effect on lamb mortality at all ages as a quadratic regression. Direct and maternal heritability estimates of lamb mortality ranged from 0.01 to 0.13 and 0.01 to 0.05, respectively. Direct heritability increased with age of lamb, while maternal effects (genetic and common environmental) were important in the preweaning period. These results indicate that lamb mortality can be reduced first through farm management practices and secondly by genetic selection. Both animal and maternal effects should be considered in breeding programmes for reducing lamb mortality at preweaning.