A generalized definition has been constructed for defining average mathematically. The definition constructed hare has been termed as the generalized f_H - Mean. This definition can be treated as a technique of deriving of definitions of different types of average. A number of definitions / formulations of average have been derived from this generalized definition of average namely the generalized f_H - Mean. This paper describes the construction of the generalized f_H - Mean and the derivations of a number of definitions / formulations of average from it.

In this paper, we will be learning some new concepts of notions of fuzzy graph, union, intersection of two fuzzy graphs and a few properties relating to finite union and intersection of fuzzy graphs are established here. We are also going to find the conditions for complete graph.

In fracture problems under a multiaxial stress state, many cases have been analyzed. Particularly, the biaxial stress state for of a few practical engineering problems. The case of SIF mode I and its influence in brittle materials by means a K_I is very important in engineering design. The main objective of this work is to establish the influence of the T-stress factor in the behavior of the biaxial mode of fracture, considering the Strain Energy Theory. A special Strain Energy Density (SED) method was proposed separating the hydrostatic and distortional components which form a total SED. Based on works carried out recently, the present research was applied in SEN specimens under plane-stress and plane-strain states, and the resultant equations were solved employing Genetic Algorithms. Results obtained are very similar into certain range of the biaxiality values to those obtained in other works. Additionally, an important contribution is made applying the algorithms to plane-stress and plane-strain states considering specimens with Poisson ratios of 0, 0.3 and 0.5. Additionally, the final results indicate that seemengly the higher order terms and the component T-stress have a significant influence on the energy curves of the SED Theory and on the direction of crack propagation, which differ significantly with respect to other published works.

Financial inclusion is a very useful tool to measure financial growth of state. Even after 70 years of independence, a large part of population in India still remains unbanked. And this brings the financial instability among the lower income group who do not have access to financial products and services. Major efforts made in the recent years by the joint contribution of the government and Reserve Bank of India in the concept and idea of financial inclusion. Major efforts of government as well as RBI includes the opening of bank accounts, and they also simultaneously ensure door step delivery of banking services through Business Correspondents (BCs) of the banks and Micro ATMs. By financial inclusion, we mean delivery of financial services, including banking services and credit at an affordable cost to the vast sections of disadvantaged and low-income groups. In this paper we evaluate financial condition of state by using Financial Inclusion Index. We calculate Financial Inclusion Index on the basis of three parameters and classify these districts into several divisions such as high, medium and low Financial Inclusion groups.

Jaipur has a population of 3.1 million as per census 2011 making it the tenth most populated city in the nation. Apart from being the state capital, Jaipur is also the largest city in the state of Rajasthan. This also makes it the largest job opportunity place for a number of workers. The increasing frequency of droughts and crop failures combined with the reduction of land holdings also force people to turn to large cities like Jaipur. Jaipur and its variety of traditional and non-traditional trades are the destination for a large number of migrant workers. The urban area of Jaipur has grown tremendously over the last decades. Each year, Population of Jaipur city increases by 3% of overall total. So, growth of population in Jaipur is descent in comparison with other rapidly growing metro cities of India. The city is hub for trade, commerce and tourism in Rajasthan. In the paper, the stress is on the gender wise comparison of various characteristics of In-migrants to Jaipur.