A Study Of Frames In The Fuzzy And Intuitionist Fuzzy Contexts

The fuzzy set theory has a wider scope of applicability than classical set theory in solving various problems. Fuzzy set theory in the last three decades as a formal theory which got formalized by generalizing the original ideas and concepts in classical mathematical areas and as a very powerful modeling language, that can cope with a large fraction of uncertainties of real life situations. In Intuitionistic Fuzzy sets a new component degree of non membership in addition to the degree of membership in the case of fuzzy sets with the requirement that their sum be less than or equal to one. The main objective of this thesis is to study frames in Fuzzy and Intuitionistic Fuzzy contexts. The thesis proved some results such as ifµ is a fuzzy subset of a frame F, then µ is a fuzzy frame of F iff each non-empty level subset µt of µ is a subframe of F, the category Fuzzfrm of fuzzy frames has products and the category Fuzzfrm of fuzzy frames is complete. It define a fuzzy-quotient frame of F to be a fuzzy partition of F, that is, a subset of IF and having a frame structure with respect to new operations and study the notion of intuitionistic fuzzy frames and obtain some results and introduce the concept of Intuitionistic fuzzy Quotient frames. Finally it establish the categorical link between frames and intuitionistic fuzzy topologies.

Economics of Ornamental Fisheries in Kerala

Comprehensive studies integrating production, consumption and marketing of ornamental fishes were never conducted in the past in Kerala and this study is an attempt to highlight the dynamics in a systematic manner by making a primary empirical study. The advantages of such an approach are many. First, the study entails detailed empirical data under a given time frame on various inter linked economic activities in ornamental fisheries sector. Second, the study tries to improve upon the previous discipline-bound studies by adopting an integrated approach. As Kerala has diverse ecological and climatic conditions, case studies on various ornamental fish production systems help identifying suitable culture practice for selected environmental conditions. One of the major conclusions of this study as explained in the concluding chapter is that although Kerala is blessed with favourable geographic and climatic conditions needed for developing ornamental fishery, diverse local conditions and requirements contain adopting modern methods of enterprise development.Consumer studies conducted would help to identify the demand of ornamental fishes and the factors leading to it. Market studies would help in understanding the forces behind domestic market, which is very promising, but neglected. Viability studies throw light on the economic performance of both the production systems and the trading units of ornamental fishes. Despite the economic significance of ornamental fisheries industry, its development has been constrained due to various bio-technical, cultural, socio-economic, organisational and above all, institutional and policy failures. The outcome of the study would identify constraints facing the industry and institutional arrangements for development.

Socio-Economic Aspects of Sustainable Ecotourism Development: The Case of Kerala

The paper is an attempt to shed light on the socio-economic aspects of the local communities on the development of ecotourism in Kerala. Most of the local communities in the ecotourism destinations are tribes who have been excluded from the mainstream society and are not a part of Kerala’s overall development setting. The paper also tries to situate the community perception on the sustainable livelihood of ecotourism sites of Kerala. Data for the study is obtained from a primary survey by dividing the ecotourism destinations in Kerala into three zones, 230 from south zone, 220 from central zone and 200 from north zone with a total sample size of 650 based on the notion of community based ecotourism initiatives of the state. The result of the study confirms that ecotourism has helped to enhance the livelihood of the marginalized community. With well-knit policies it is possible to tag ecotourism of Kerala as an important tourism destination in the global tourism map