Atanu Sengupta – författare
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In conventional mathematical programming, coefficients of problems are usually determined by the experts as crisp values in terms of classical mathematical reasoning. But in reality, in an imprecise and uncertain environment, it will be utmost unrealistic to assume that the knowledge and representation of an expert can come in a precise way. The wider objective of the book is to study different real decision situations where problems are defined in inexact environment. Inexactness are mainly generated in two ways – (1) due to imprecise perception and knowledge of the human expert followed by vague representation of knowledge as a DM; (2) due to huge-ness and complexity of relations and data structure in the definition of the problem situation. We use interval numbers to specify inexact or imprecise or uncertain data. Consequently, the study of a decision problem requires answering the following initial questions: How should we compare and define preference ordering between two intervals?, interpret and deal inequality relations involving interval coefficients?, interpret and make way towards the goal of the decision problem?
The present research work consists of two closely related fields: approaches towards defining a generalized preference ordering scheme for interval attributes and approaches to deal with some issues having application potential in many areas of decision making.
Fuzzy Preference Ordering of Interval Numbers in Decision Problems
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In production and service sectors we often come across situations where females remain largely overshadowed by males both in terms of wages and productivity. Men are generally assigned jobs that require more physical work while the ‘less’ strenuous job is allocated to the females. However, the gender dimension of labor process in the service sector in India has remained relatively unexplored. There are certain activities in the service sector where females are more suitable than males. The service sector activities are usually divided into OAE and Establishments. In this work, an attempt has been made to segregate the productivity of females compared to that of males on the basis of both partial and complete separability models. An estimate has also been made of the female labor supply function. The results present a downward trend for female participation both in Own Account Enterprises (OAE) and Establishment. The higher the female shadow wage the lower their supply. This lends support to the supposition that female labor participation is a type of distress supply rather than a positive indicator of women’s empowerment. Analysis of the National Sample Service Organization data indicates that in all the sectors women are generally paid less than men. A micro-econometric study reveals that even in firms that employ solely female labor, incidence of full-time labor is deplorably poor. It is this feature that results in women workers’ lower earnings and their deprivation.
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