South Asian Orient: Colonial Epistemological Inquiry and its Modern Connections

As analysts assume that the South Asian regional political environment is difficult to comprehend due to its ethnic divisions and lingual bifurcations as the region hosts more than one and half billion inhabitants divided into India, Pakistan, Bangladesh, Bhutan, Nepal, Maldives, and Sri Lanka. Geographic diversity makes this region unique from all other regions in the world as it is bordered off the Persian Gulf and Arab world through the Indian ocean and opened up from Central Asia to the northern hemisphere. Such a racial, geographic, cultural, lingual and religious diversification had undergone epistemological inquiry during the colonial period in order to devise a central administrative system of regulating Raj’s affairs for the upcoming global world. Therefore, there emerged a unique sense of exploring the unfathomability and multiplicity of the scattering communalities. Through employing Edward W. Said’s critical framework, the present study exposes main theoretical Orientalist formulations by deconstructing major Western theories on South Asian cultures, geography and societies along with its connectivity to the overlapping of global power interests in the present world.

Intersectional Soft Set Theory Applied to Ordered Semihypergroups

Throughout this thesis, which contains seven chapters, Z will denote an ordered semihypergroup, unless otherwise stated.Chapter one, which is of introductory nature provides basic definitions and reviews some of the background materials which are needed for the subsequent chapters.In chapter two, definition of int-soft subsemihypergroup and int-soft left (resp., right) hyperideals are introduced. Characterizations of different classes (regular, intra-regular, right weakly regular and weakly-regular) ordered semihypergroups in terms of int-soft hyperideals are given. In this respect, discuss the study of semisimple ordered semihypergroups and characterize it in terms of int-soft hyperideals. The notions of convex soft set and critical soft point are also given. Moreover introduce the notions of (?,?)-int-soft hyperideals and their basic properties are discussed in this chapter.In chapter three, give the concept of int-soft interior hyperideals and characterize simple ordered semihypergroups in terms of int-soft interior hyperideals and int-soft hyperideals. Moreover characterize semisimple ordered semihypergroups in terms of int-soft interior hyperideals. Furthermore, introduce the notion of (?,?)-int-soft interior hyperideals of ordered semihypergroups. Finally, introduce the notion of (?,?)-int-soft simple ordered semihypergroups and characterize it in terms of (?,?)-int-soft hyperideals and (?,?)-int-soft interior hyperideals.In chapter four, the notion of int-soft bi-hyperideals is introduced. Moreover give the characterization of (regular, right weakly regular, intra-regular and right weakly regular, intraregular and left weakly regular) ordered semihypergroups in terms of int-soft bi-hyperideals. Furthermore definitions of prime, strongly prime, semiprime, irreducible and strongly irreducible int-soft bi-hyperideals are given. Finally, characterize ordered semihypergroups by the properties of these notions.In chapter five, definition of int-soft generalized bi-hyperideals is given and the related properties are discussed. Furthermore, characterize some classes in terms of int-soft generalized bi-hyperideals.In chapter six, definition of int-soft quasi-hyperideals is given and discuss some basic properties of int-soft quasi-hyperideals. Characterize (weakly regular, intra-regular and left weakly regular) ix ordered semihypergroups in terms of int-soft quasi-hyperideals. Moreover characterize regular, left (resp., right) simple ordered semihypergroups in terms of int-soft quasi-hyperideals.In chapter seven, the notion of int-soft left (resp., right) hyperfilters is introduced. Numerous related properties are investigated. Moreover, define completely prime int-soft hyperideals of ordered semihpergroups. Finally, characterize int-soft hyperfilters in terms of completely prime int-soft hyperideals.