CODEN (USA): IJCRGG, ISSN: 0974-4290, ISSN(Online):2455-9555 Vol.10 No.14, pp 181-189, 2017
Abstract : The manifestation of one’s personality is behaviour, which is influenced by several factors. The foremost transformation in the pattern of human’s behaviour takes place in adolescent’s stage. Psychologists refer the period of teenage to be highly crucial, but now in the
present scenario, the behaviour modification has started to take place in childhood. This drastic maturity without channelization has resulted in immoral behaviour. The factors contributing to it may be grouped as internal factors such as psychological, biological and the external factors such as social, economic, environmental. But recent studies have revealed that there is a close association between biochemical factors and behavioural modification. In addition present technological growth, nutritional diet and other related aspects has declined the moral values of them which have resulted in many crises such as molestation, harassment, unlawful activities and other critical acts. As the present children are the future leaders, behavioural regulation and development of their moral systems have to be focused, which is the prime aim of this paper. To execute it systematically fuzzy directed graphs with fuzzy nonagonal causal weights is used. In this paper the factors causing the adhesion of biochemical elements in the behavioural system of are considered and their association and impacts over one another is quantified with nonagonal fuzzy weights. An algorithm of ranking is used to find the core stimulating factor. Keywords : childhood, behaviour, Biochemical, Fuzzy Directed Graphs, Nonagonal fuzzy number, causal.
Morality refers to certain standards of behaviour exhibited by human subjected to the social ethics. The child enters into the society as biological organism, which then gets imbibed to the norms of the living environment, which play a vital role in influencing the behaviour of the individual1. The stages of development of an individual begin with infancy, childhood, adolescent, adulthood and finally end with old age. In childhood stage the formation of behaviour and the learning process starts to get shape.The childhood period is classified into early childhood (3 yrs to 8) and middle childhood (9 yrs to 11). In these days many unprincipled activities are done by the children of middle childhood due to many internal and external factors. Several studies are undertaken to explore the reasons for it, which in turn gave way for the bloom of many theories2. Our human body is composed of many biochemical reactions and there is a close association with the behavioural system. The behaviour regulating mechanism is highly coordinated by neurotransmitters and dopamine system. The levels of Serotonin, Noradrenaline, Monamine Oxidase must be in accordance to its limit. The agitation of these elements causes aggressive behavioural outcomes. In a long run research the educationalists have stated a lot of influencing social, economic, biological, environmental factors of immorality behaviour of children, but they have not much focused on the stimulating factors of biochemical elements. The main aim of this paper is to explore the prime factors inducing immorality behaviour in children and to analyze the causal relationship between these factors. To determine the association between the factors, the concept of directed graphs with nonagonal weights is used.
The paper is organized as follows, section 2 presents the preliminaries, section 3 consists of the factors considered for study, section 4 explains the methodology, section 5 adapts the mathematical tool to the problem, section 6 composes of the results and discussion, finally section 7 concludes the paper.
2. Preliminaries
3,4,5,6
The basic definitions which are essential for the study are as follows:
2.1Fuzzy Cognitive map
A Fuzzy Cognitive Map (FCM) is a directed graph with concepts like policies, eventsetc. as nodes and causalities as edges. It represents causal relationship betweenconcepts.
The edges eijtake values in the fuzzy causal interval [-1,1]. eij=0 indicates no causality. eij>0 indicates causal increase orpositive causality.CjincreasesasCiincreases(orCjdecreasesasCidecreases). Eij< 0 indicates causal decrease or negative causality. Cj decreases asCiincreases (or Cj increases as Cidecreases). Simple FCMs have edge valuesin{-1,0,1}.Thenifcausalityoccurs,itoccurstoamaximal positive or negativedegree.
Let C1C2, C2 C3,…, CiCj,… be a cycle when Ciis switched on and ifthecausalityflowsthroughtheedgesofacycleandifitagaincauses Ci, We say that the dynamical system goes round and round. This istrue for any node Ci, for i= 1, 2, …, n. The equilibrium state forthis dynamical system is called the hiddenpattern.
If the equilibrium state of a dynamical system is a uniquestate vector, then it is called a fixedpoint.
The FCM settles down with a state vector repeating of the form
2.6Nonagonal Fuzzy Number
A Nonagonal Fuzzy number is defined as (a1, a2, a3, a4, a5,a6, a7, a8, a9) and the membership function is defined as7,8,9
3. Factors Stimulating the Biochemical traits in the behavioural system in childhood
The following factors stimulating immorality behaviour in middle childhood that are considered for study are taken as Nonagonal fuzzy concepts which are obtained from the questionnaire given to 50 respective
10,11,12
field experts.
NC1 Very low reciprocation of love and care from parents NC2 High craving to internet NC3 High addiction to drugs NC4 Very Poor promotion of moral values NC5 Low weightage to religious beliefs NC6 Illegal affairs of the parents NC7 Frequent Breakage of marriage bonds of the parents NC8 Increase of Nuclear family NC9 Greater Enhancement of interest towards western culture NC10 Higher infatuation towards opposite gender
4. Methodology
The steps to determine the hidden pattern are follows
5. Adaptation of the method to find the hidden pattern
NC1 | NC2 | NC3 | NC4 | NC5 | NC6 | NC7 | NC8 | NC9 | NC10 | |
---|---|---|---|---|---|---|---|---|---|---|
NCI | (0, 0, 0, 0, 0, 0.03, 0.07, 0.11, 0.15) | (0.47, 0.51, 0.55, 0.59, 0.63, 0.67, 071, 0.75, 0.79) | (0.79, 0.83, 0.87, 0.91, 0.95, 0.99, 1, 1, 1) | (0.47, 0.51, 0.55, 0.59, 0.63, 0.67, 071, 0.75, 0.79) | (0.47, 0.51, 0.55, 0.59, 0.63, 0.67, 071, 0.75, 0.79) | (0, 0, 0, 0, 0, 0.03, 0.07, 0.11, 0.15) | (0, 0, 0, 0, 0, 0.03, 0.07, 0.11, 0.15) | (0, 0, 0, 0, 0, 0.03, 0.07, 0.11, 0.15) | (0, 0, 0, 0, 0, 0.03, 0.07, 0.11, 0.15) | (0.79, 0.83, 0.87, 0.91, 0.95, 0.99, 1, 1, 1) |
NC2 | (0, 0, 0, | (0, 0, 0, | (0, | (0.47, | (0.31, | (0, 0, 0, | (0, 0, 0, | (0, 0, 0, | (0.79, | (0.47, |
---|---|---|---|---|---|---|---|---|---|---|
0, 0, | 0, 0, | 0.03, | 0.51, | 0.35, | 0, 0, | 0, 0, | 0, 0, | 0.83, | 0.51, | |
0.03, | 0.03, | 0.07, | 0.55, | 0.39, | 0.03, | 0.03, | 0.03, | 0.87, | 0.55, | |
0.07, | 0.07, | 0.11, | 0.59, | 0.43, | 0.07, | 0.07, | 0.07, | 0.91, | 0.59, | |
0.11, | 0.11, | 0.15, | 0.63, | 0.47, | 0.11, | 0.11, | 0.11, | 0.95, | 0.63, | |
0.15) | 0.15) | 0.19, | 0.67, | 0.51, | 0.15) | 0.15) | 0.15) | 0.99, 1, | 0.67, | |
0.23, | 071, | 0.55, | 1, 1) | 071, | ||||||
0.27) | 0.75, | 0.59, | 0.75, | |||||||
0.79) | 0.63) | 0.79) | ||||||||
NC3 | (0, 0, 0, | (0, | (0, 0, 0, | (0.79, | (0.79, | (0, 0, 0, | (0, 0, 0, | (0, 0, 0, | (0.47, | (0.31, |
0, 0, | 0.03, | 0, 0, | 0.83, | 0.83, | 0, 0, | 0, 0, | 0, 0, | 0.51, | 0.35, | |
0.03, | 0.07, | 0.03, | 0.87, | 0.87, | 0.03, | 0.03, | 0.03, | 0.55, | 0.39, | |
0.07, | 0.11, | 0.07, | 0.91, | 0.91, | 0.07, | 0.07, | 0.07, | 0.59, | 0.43, | |
0.11, | 0.15, | 0.11, | 0.95, | 0.95, | 0.11, | 0.11, | 0.11, | 0.63, | 0.47, | |
0.15) | 0.19, | 0.15) | 0.99, 1, | 0.99, 1, | 0.15) | 0.15) | 0.15) | 0.67, | 0.51, | |
0.23, | 1, 1) | 1, 1) | 071, | 0.55, | ||||||
0.27) | 0.75, | 0.59, | ||||||||
0.79) | 0.63) | |||||||||
NC4 | (0.31, | (0.79, | (0.79, | (0, 0, 0, | (0.79, | (0.47, | (0.31, | (0.15, | (0.47, | (0.47, |
0.35, | 0.83, | 0.83, | 0, 0, | 0.83, | 0.51, | 0.35, | 0.19, | 0.51, | 0.51, | |
0.39, | 0.87, | 0.87, | 0.03, | 0.87, | 0.55, | 0.39, | 0.23, | 0.55, | 0.55, | |
0.43, | 0.91, | 0.91, | 0.07, | 0.91, | 0.59, | 0.43, | 0.27, | 0.59, | 0.59, | |
0.47, | 0.95, | 0.95, | 0.11, | 0.95, | 0.63, | 0.47, | 0.31, | 0.63, | 0.63, | |
0.51, | 0.99, 1, | 0.99, 1, | 0.15) | 0.99, 1, | 0.67, | 0.51, | 0.35, | 0.67, | 0.67, | |
0.55, | 1, 1) | 1, 1) | 1, 1) | 071, | 0.55, | 0.39, | 071, | 071, | ||
0.59, | 0.75, | 0.59, | 0.43, | 0.75, | 0.75, | |||||
0.63) | 0.79) | 0.63) | 0.47) | 0.79) | 0.79) | |||||
NC5 | (0, 0, 0, | (0.47, | (0.79, | (0.79, | (0, 0, 0, | (0.47, | (0.47, | (0.47, | (0.47, | (0.47, |
0, 0, | 0.51, | 0.83, | 0.83, | 0, 0, | 0.51, | 0.51, | 0.51, | 0.51, | 0.51, | |
0.03, | 0.55, | 0.87, | 0.87, | 0.03, | 0.55, | 0.55, | 0.55, | 0.55, | 0.55, | |
0.07, | 0.59, | 0.91, | 0.91, | 0.07, | 0.59, | 0.59, | 0.59, | 0.59, | 0.59, | |
0.11, | 0.63, | 0.95, | 0.95, | 0.11, | 0.63, | 0.63, | 0.63, | 0.63, | 0.63, | |
0.15) | 0.67, | 0.99, 1, | 0.99, 1, | 0.15) | 0.67, | 0.67, | 0.67, | 0.67, | 0.67, | |
071, | 1, 1) | 1, 1) | 071, | 071, | 071, | 071, | 071, | |||
0.75, | 0.75, | 0.75, | 0.75, | 0.75, | 0.75, | |||||
0.79) | 0.79) | 0.79) | 0.79) | 0.79) | 0.79) | |||||
NC6 | (0.79, | (0.15, | (0.47, | (0.31, | (0, 0, 0, | (0, 0, 0, | (0.79, | (0.15, | (0.47, | (0.47, |
0.83, | 0.19, | 0.51, | 0.35, | 0, 0, | 0, 0, | 0.83, | 0.19, | 0.51, | 0.51, | |
0.87, | 0.23, | 0.55, | 0.39, | 0.03, | 0.03, | 0.87, | 0.23, | 0.55, | 0.55, | |
0.91, | 0.27, | 0.59, | 0.43, | 0.07, | 0.07, | 0.91, | 0.27, | 0.59, | 0.59, | |
0.95, | 0.31, | 0.63, | 0.47, | 0.11, | 0.11, | 0.95, | 0.31, | 0.63, | 0.63, | |
0.99, 1, | 0.35, | 0.67, | 0.51, | 0.15) | 0.15) | 0.99, 1, | 0.35, | 0.67, | 0.67, | |
1, 1) | 0.39, | 071, | 0.55, | 1, 1) | 0.39, | 071, | 071, | |||
0.43, | 0.75, | 0.59, | 0.43, | 0.75, | 0.75, | |||||
0.47) | 0.79) | 0.63) | 0.47) | 0.79) | 0.79) |
NC7 | (0.47, | (0.47, | (0.47, | (0.31, | (0.31, | (0.79, | (0, 0, 0, | (0.31, | (0.15, | (0.79, |
---|---|---|---|---|---|---|---|---|---|---|
0.51, | 0.51, | 0.51, | 0.35, | 0.35, | 0.83, | 0, 0, | 0.35, | 0.19, | 0.83, | |
0.55, | 0.55, | 0.55, | 0.39, | 0.39, | 0.87, | 0.03, | 0.39, | 0.23, | 0.87, | |
0.59, | 0.59, | 0.59, | 0.43, | 0.43, | 0.91, | 0.07, | 0.43, | 0.27, | 0.91, | |
0.63, | 0.63, | 0.63, | 0.47, | 0.47, | 0.95, | 0.11, | 0.47, | 0.31, | 0.95, | |
0.67, | 0.67, | 0.67, | 0.51, | 0.51, | 0.99, 1, | 0.15) | 0.51, | 0.35, | 0.99, 1, | |
071, | 071, | 071, | 0.55, | 0.55, | 1, 1) | 0.55, | 0.39, | 1, 1) | ||
0.75, | 0.75, | 0.75, | 0.59, | 0.59, | 0.59, | 0.43, | ||||
0.79) | 0.79) | 0.79) | 0.63) | 0.63) | 0.63) | 0.47) | ||||
NC8 | (0.47, | (0.47, | (0.47, | (0.47, | (0.47, | (0.47, | (0.79, | (0, 0, 0, | (0, | (0.47, |
0.51, | 0.51, | 0.51, | 0.51, | 0.51, | 0.51, | 0.83, | 0, 0, | 0.03, | 0.51, | |
0.55, | 0.55, | 0.55, | 0.55, | 0.55, | 0.55, | 0.87, | 0.03, | 0.07, | 0.55, | |
0.59, | 0.59, | 0.59, | 0.59, | 0.59, | 0.59, | 0.91, | 0.07, | 0.11, | 0.59, | |
0.63, | 0.63, | 0.63, | 0.63, | 0.63, | 0.63, | 0.95, | 0.11, | 0.15, | 0.63, | |
0.67, | 0.67, | 0.67, | 0.67, | 0.67, | 0.67, | 0.99, 1, | 0.15) | 0.19, | 0.67, | |
071, | 071, | 071, | 071, | 071, | 071, | 1, 1) | 0.23, | 071, | ||
0.75, | 0.75, | 0.75, | 0.75, | 0.75, | 0.75, | 0.27) | 0.75, | |||
0.79) | 0.79) | 0.79) | 0.79) | 0.79) | 0.79) | 0.79) | ||||
NC9 | (0.47, | (0.47, | (0.47, | (0.47, | (0.47, | (0.47, | (0.79, | (0.47, | (0, 0, 0, | (0.47, |
0.51, | 0.51, | 0.51, | 0.51, | 0.51, | 0.51, | 0.83, | 0.51, | 0, 0, | 0.51, | |
0.55, | 0.55, | 0.55, | 0.55, | 0.55, | 0.55, | 0.87, | 0.55, | 0.03, | 0.55, | |
0.59, | 0.59, | 0.59, | 0.59, | 0.59, | 0.59, | 0.91, | 0.59, | 0.07, | 0.59, | |
0.63, | 0.63, | 0.63, | 0.63, | 0.63, | 0.63, | 0.95, | 0.63, | 0.11, | 0.63, | |
0.67, | 0.67, | 0.67, | 0.67, | 0.67, | 0.67, | 0.99, 1, | 0.67, | 0.15) | 0.67, | |
071, | 071, | 071, | 071, | 071, | 071, | 1, 1) | 071, | 071, | ||
0.75, | 0.75, | 0.75, | 0.75, | 0.75, | 0.75, | 0.75, | 0.75, | |||
0.79) | 0.79) | 0.79) | 0.79) | 0.79) | 0.79) | 0.79) | 0.79) | |||
NC10 | (0, 0, 0, | (0.47, | (0, 0, 0, | (0.31, | (0.47, | (0, 0, 0, | (0, 0, 0, | (0, 0, 0, | (0.31, | (0, 0, 0, |
0, 0, | 0.51, | 0, 0, | 0.35, | 0.51, | 0, 0, | 0, 0, | 0, 0, | 0.35, | 0, 0, | |
0.03, | 0.55, | 0.03, | 0.39, | 0.55, | 0.03, | 0.03, | 0.03, | 0.39, | 0.03, | |
0.07, | 0.59, | 0.07, | 0.43, | 0.59, | 0.07, | 0.07, | 0.07, | 0.43, | 0.07, | |
0.11, | 0.63, | 0.11, | 0.47, | 0.63, | 0.11, | 0.11, | 0.11, | 0.47, | 0.11, | |
0.15) | 0.67, | 0.15) | 0.51, | 0.67, | 0.15) | 0.15) | 0.15) | 0.51, | 0.15) | |
071, | 0.55, | 071, | 0.55, | |||||||
0.75, | 0.59, | 0.75, | 0.59, | |||||||
0.79) | 0.63) | 0.79) | 0.63) |
The N(M) average weight Matrix is as
Let G1 = (1000000000) | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|
G1*N(M) = | ||||||||||
(0.04 | 0.63 | 0.93 | 0.79 | 0.63 | 0.04 | 0.04 | 0.04 | 0.04 | 0.93) | |
(0010000001) = G1’ G1’*N(M) = 0.08 | 0.92 | 0.08 | 1.4 | 1.72 | 0.08 | 0.08 | 0.08 | 1.1 | 0.51 | |
(0000100000) = G2’ G2’*N(M) = 0.04 0.79 0.93 | 0.93 | 0.04 | 0.79 | 0.79 | 0.79 | 0.79 | 0.79 | |||
(0011000000) = G3’ G3’*N(M) = (0.51 (000100000) = G4’ G4’*N(M) = 0.47 0.93 | 1.06 0.93 | 0.97 0.04 | 1.86 0.67 0.51 0.35 0.93 0.63 0.47 | 1.42 0.31 | 1.26) 0.79 | 0.79 | ||||
(0110100000) = G5’ G5’*N(M) = (0.12 0.96 1.1 2.65 (0001000000) = G6’ Let G1 = (0100000000) G1*N(M) = 0.04 0.04 0.13 | 1.44 0.79 | 0.87 0.87 0.47 | 0.87 0.04 | 2.35 0.04 | 2.05) 0.04 | 0.93 | 0.79 | |||
(0000000010) = G1’ G1’*N(M) = 0.63 0.79 | 0.79 | 0.79 | 0.79 | 0.79 | 0.93 | 0.79 | 0.04 | 0.79 | ||
(0000001000) = G2’ G2’*N(M) = 0.79 0.79 | 0.79 | 0.47 | 0.47 | 0.93 | 0.04 | 0.47 | 0.31 | 0.93 |
Nivetha Martin et al /International Journal of ChemTech Research, 2017,10(14): 181-189. | 188 | ||||||||
---|---|---|---|---|---|---|---|---|---|
(0000010001) = G3’ | |||||||||
G3’*N(M) = | |||||||||
0.97 | 1.1 | 0.83 | 0.94 | 0.83 | 0.08 | 0.97 | 0.35 | 1.1 | 0.83 |
(0100000010) = G4’ | |||||||||
G4’*N(M) = | |||||||||
0.67 | 0.83 | 0.92 | 1.58 | 1.26 | 0.83 | 0.97 | 0.83 | 0.97 | 1.58 |
(0001000001) = G5’ | |||||||||
G5’*N(M) = | |||||||||
0.51 | 1.72 | 0.97 | 0.51 | 1.72 | 0.67 | 0.51 | 0.35 | 1.26 | 0.83 |
(0100100000) = G6’ | |||||||||
G6’*N(M) = | |||||||||
0.08 | 0.83 | 1.06 | 1.72 | 0.51 | 0.83 | 0.83 | 0.83 | 1.72 | 1.58 |
(0001000010) = G7’ | |||||||||
G7’*N(M) = | |||||||||
1.1 | 1.72 | 1.72 | 0.83 | 1.72 | 1.42 | 1.4 | 1.1 | 0.83 | 1.58 |
(0110100000) = G8’ | |||||||||
G8’*N(M) = | |||||||||
0.12 | 0.96 | 1.1 | 2.65 | 1.44 | 0.87 | 0.87 | 0.87 | 2.35 | 2.05 |
(0001000010) = G9’ | |||||||||
Proceeding in the same manner we get the limit point by considering each factor in ON position. | |||||||||
Table 5.1 Weightage of the Nonagonal Concepts |
Attributes | NC1 | NC2 | NC3 | NC4 | NC5 | NC6 | NC7 | NC8 | NC9 | NC10 |
---|---|---|---|---|---|---|---|---|---|---|
(1000000000) | 0.12 | 0.96 | 1.1 | 2.65 | 1.44 | 0.87 | 0.87 | 0.87 | 2.35 | 2.05 |
(0100000000) | 0.12 | 0.96 | 1.1 | 2.65 | 1.44 | 0.87 | 0.87 | 0.87 | 2.35 | 2.05 |
(0010000000) | 0.04 | 0.13 | 0.04 | 0.93 | 0.93 | 0.04 | 0.04 | 0.04 | 0.63 | 0.47 |
(0001000000) | 0.47 | 0.93 | 0.93 | 0.04 | 0.93 | 0.63 | 0.47 | 0.31 | 0.79 | 0.79 |
(0000100000) | 0.04 | 0.79 | 0.93 | 0.93 | 0.04 | 0.79 | 0.79 | 0.79 | 0.79 | 0.79 |
(0000010000) | 0.12 | 0.96 | 1.1 | 2.65 | 1.44 | 0.87 | 0.87 | 0.87 | 2.35 | 2.05 |
(0000001000) | 0.12 | 0.96 | 1.1 | 2.65 | 1.44 | 0.87 | 0.87 | 0.87 | 2.35 | 2.05 |
(0000000100) | 0.12 | 0.96 | 1.1 | 2.65 | 1.44 | 0.87 | 0.87 | 0.87 | 2.35 | 2.05 |
(0000000010) | 0.12 | 0.96 | 1.1 | 2.65 | 1.44 | 0.87 | 0.87 | 0.87 | 2.35 | 2.05 |
(0000000001) | 0.12 | 0.96 | 1.1 | 2.65 | 1.44 | 0.87 | 0.87 | 0.87 | 2.35 | 2.05 |
Total Weight | 1.15 | 6.65 | 7.4 | 15.15 | 9.1 | 5.81 | 5.65 | 5.49 | 13.96 | 12.3 |
Total Average Weight | 0.115 | 0.655 | 0.74 | 1.515 | 0.91 | 0.581 | 0.565 | 0.549 | 1.396 | 1.23 |
The above table vividly indicates that the concepts NC4,Very Poor promotion of moral values, NC9 Greater Enhancement of interest towards western culture, NC10 Higher infatuation towards opposite gender contribute to the cause of immorality behaviour. These three factors seem to be the prime causes from the point of view of experts. The younger generation has now drifted to western culture as a result of which their moral values get detained. Presently parents spend a lot of time in their work which leave their children in isolation. As they do not spend time with their children, the rate of reciprocal of love and care between them become sparse. The morality of the children has to be developed and parents play a vital role in it. Amidst the busy schedule, the parents must spend some time with their children to share the daily events. This will make them comfortable and the time spent on other abominal activities will begin to decline. These factors will definitely induces the biochemical traits to stimulate the aggressive and immoral exhibit of behaviour.
This paper analyzes the causes of immorality behaviour in children from teacher’s perspective. In this work the nonagonal fuzzy concept is employed to determine the principal causes. This method also helps in ranking the causes, which assist in formulating the right corrective measures. In this paper the higher fuzzy number is used in decision making.
Academics -An Analysis using Induced Linked Fuzzy Relational Mapping Using Hexagonal Fuzzy number, Elixir, Educational Technology, 2016, 41914-41917.
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