TAILIEUCHUNG - Hedge algebras, the semantics of vague linguistic information and application prospective

The report aims to show that hedge algebras model actually the proper qualitative semantics of words of linguistic variables based on the argument that the inherent qualitative semantics of words should be expressed through the order relationships between the words in their respective variable domains induced by the word semantics, as it is required by decision making of human daily lives. | Tạp chí Khoa học và Công nghệ 54 (1) 2016 1-26 HEDGE ALGEBRAS, THE SEMANTICS OF VAGUE LINGUISTIC INFORMATION AND APPLICATION PROSPECTIVE Cat Ho Nguyen1, *, Thai Son Tran1, Nhu Lan Vu1, 2 1 Institute of Information Technology, VAST, 18 Hoang Q Viet, Cau Giay, Hanoi 2 Thang Long University, Nghiem Xuan Yem, Hoang Mai, Ha Noi * Email: ncatho@ Received: 18 November 2014; Accepted for publication: 4 June 2015 ABSTRACT The report aims to show that hedge algebras model actually the proper qualitative semantics of words of linguistic variables based on the argument that the inherent qualitative semantics of words should be expressed through the order relationships between the words in their respective variable domains induced by the word semantics, as it is required by decision making of human daily lives. This makes the hedge algebra based approach to the word semantics quite different to the existing approaches and become the only approach that can immediately deal with the natural qualitative semantics of words. We explain clearly and systematically distinguished features and properties of this approach to show that these seem to make the approach to be sound and to ensure its effectiveness in initial applications under consideration. This approach seems to be promising for development of hedge algebra-based method to solve problems in various application fields. For illustration, we will give a short overview of effective results of the initial applications of hedge algebras in the fields of knowledge based systems and of fuzzy control. Keywords: order based semantics; fuzziness of word; fuzzy set based semantics, fuzzy rule based system; classification; fuzzy control. 1. INTRODUCTION Uncertainty information, including fuzzy linguistic information, appears in almost areas of human society and of technology and, therefore, any theories of uncertainty can find a wide range of applications in many distinct fields. The fuzzy set theory is one of such .

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