We introduce the concept of a synchronal approximation space (SA) and a AUAI-multiple approximation space and show that they are essentially equivalent; to an AUAI rough system. Through this we have estabilished connections between general cover based systems, dynamic spaces and generalized approximation spaces (APS) for easier algebraic semantics. AUAI-rough set theory (RST) is also extended to accommodate local determination of universes. The results obtained are also significant in the representation theory of general granular RST, for the problems of multi source RST and Ramsey-type combinatorics.
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Southwestern Univ Finance & Econ, Sch Business Adm, Chengdu, Peoples R ChinaSouthwestern Univ Finance & Econ, Sch Business Adm, Chengdu, Peoples R China
Liao, Zhixue
Leung, Sunney Yung Sun
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Hong Kong Polytech Univ, Inst Text & Clothing, Hong Kong, Hong Kong, Peoples R ChinaSouthwestern Univ Finance & Econ, Sch Business Adm, Chengdu, Peoples R China
Leung, Sunney Yung Sun
Du, Wei
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East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai, Peoples R ChinaSouthwestern Univ Finance & Econ, Sch Business Adm, Chengdu, Peoples R China
Du, Wei
Guo, Zhaoxia
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Sichuan Univ, Business Sch, Chengdu, Peoples R ChinaSouthwestern Univ Finance & Econ, Sch Business Adm, Chengdu, Peoples R China
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SRM Inst Sci & Technol SRMIST, Dept Comp Technol, Kattankulathur 603203, Tamil Nadu, India
Vilnius Gediminas Tech Univ, Fac Fundamental Sci, Dept Informat Technol, Vilnius, LithuaniaKadir Has Univ, Dept Business Adm, Cibali Ave Kadir Has St Fatih, TR-34083 Istanbul, Turkiye
Saha, Abhijit
Kumar, Pydimarri Venkata Ravi
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Koneru Lakshmaiah Educ Fdn, Dept Comp Sci & Engn, Vaddeswaram 522302, Andhra Pradesh, IndiaKadir Has Univ, Dept Business Adm, Cibali Ave Kadir Has St Fatih, TR-34083 Istanbul, Turkiye
Kumar, Pydimarri Venkata Ravi
Debnath, Bijoy Krishna
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Tezpur Univ, Sch Engn, Dept Appl Sci, Tezpur 784028, Assam, IndiaKadir Has Univ, Dept Business Adm, Cibali Ave Kadir Has St Fatih, TR-34083 Istanbul, Turkiye