books on set theory for computer science and applications pdf

We denote the equivalence class of an element x with respect to R by [ x ] R , which is defined as [ x ] R = { y | yRx }. Applications of fuzzy technology can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, robotics, and others. /MediaBox [0 0 595.276 841.89] [0, 1] and ? /Resources 1 0 R /Length 300 >> endobj [0, 1]. Since its inception, the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. xڭXK����P�b�j�%A��$�Y����ny��!IU0$��H� ww����"5t�_��h4_�ԛ�W���6u\��6i��EQnʬ����j&��(a]�:�֪��mwY�G��燿��z���O5��Y ��z�aH���r��O�J�l��m�F�a���z��E}�Wu��W�?�s��㏦u?k�;,N�˸� o�$O�s�,��?���kc�F�c����/��2Ne1���n'r�Rlvi�y��gt_��A���d�!��#�}� ��8/kV��9���V�X��%�,R��݁��d? The hesitation function of A is denoted by p A and for any x ? ), Tripathy, B. K., and K. R. Arun. Incomplete Soft Set: Missing of some data in the soft set due to the incomplete database exist in literature. Theoretical advances have been made in many directions. /Filter /FlateDecode Then for any , we associate two crisp sets and called the lower and upper approximations of X with respect to R respectively and are defined as, = { x ? A ( x ) = 1. /Contents 3 0 R ]T?���U���6��n�/,i��w~6�:��nE =�¸�ނ{pMR.#u۽:k^�,ܴ��um�/"K&�j��0�f+��Ԛ_�-�w�F^Ǵ. stream 11 0 obj << /Font << /F23 4 0 R /F22 5 0 R /F45 6 0 R /F30 7 0 R >> Atkart.com will make you to feel a joyful experience ofonline shopping .Atkart.com has a belief to save the time of its customers and letthem to perform other meaningful and important work in life’s aspect like spending time with their family and let you to go for your favorite activities rather than going for grocery shopping and facinga large traffic, standing in que’s and fighting for parking space.To have a great and joyful shopping experience, shop with Atkart.com and feel a different and new shopping experience, we can serve you better. Intuitionistic Fuzzy Set: An (IFS) A over E, is characterised by two functions µ A and ? A fuzzy set is the pair ( S , µ) where S is a set and µ : S ? Atkart.com intends to delight all households of dwarka with a promise to offer a wide range through online shopping.We deliver every product you need to maintain your home needs , it can be anything like grocery, dairy products, fruits and vegetables, personal care products, households , health care products, books, entertainment and latest mobiles and accessories.Atkart.com accept orders through an easy onsite shopping and alsothrough telephonic order placing.Atkart.com has a wide range of varieties in its categories and wehave a direct collaboration with different big brands and companies to provide the best products to our prestigious customers.Atkart.com intends to provide everything at your doorstep for that we have put many categories and subcategories as follows :-In our grocery segment we provide all packaged eating stuff likegrains, pulses , floors , edible oils, ghee, salt, sugar, tea, coffee,masala’s, pastes, powders, pickles, sauces, jam, snacks, beverages, dry fruits, and many more items to fulfill your cookery needs.In dairy segment we provide milk, milk products, and confectionary items.We also provide you fresh fruits and vegetables in our fruits andvegetables section.Atkart.com provides all household items in our household segment in which we provide a wide range of kitchenware, electrical , laundry,home cleaning products, disposals , brooms and wipers , shoe care items,pest control,pooja samagri and stationary items at your doorstep.In personal care category Atkart.com provides bath care, fragrances ,skin and beauty care products, grooming, dental care,hair careproducts, women care and baby care products in a wide range.Atkart.com provides Health equipments and first aid in health section.Atkart.com also deals in a wide range of books , entertainment stuff like movies , music, games under our entertainment segment. 2 0 obj << 1 0 obj << /Parent 8 0 R In, Advances in Computational Intelligence and Robotics, InfoSci-Computer Science and Information Technology, InfoSci-Computer Science and IT Knowledge Solutions – Books, Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing. endstream It is the indeterministic part of x. We start with the basic set theory. Theoretical advances have been made in many directions. Applications of fuzzy technology can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, robotics, and others.

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