Hedge algebras: an algebraic approach to structure of sets of linguistic truth values
Fuzzy Sets and Systems
Fuzzy sets in approximate reasoning, part 1: inference with possibility distributions
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
Extended hedge algebras and their application to fuzzy logic
Fuzzy Sets and Systems
Fuzzy sets, fuzzy logic, and fuzzy systems
Fundamenta Informaticae - Special issue: to the memory of Prof. Helena Rasiowa
Some mathematical aspects of fuzzy sets: triangular norms, fuzzy logics, and generalized measures
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
Method of solution to fuzzy equations in a complete Brouwerian lattice
Fuzzy Sets and Systems
An algebraic approach to linguistic hedges in Zadeh's fuzzy logic
Fuzzy Sets and Systems - Data bases and approximate reasoning
Comparison of fuzzy reasoning methods
Fuzzy Sets and Systems
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It is well known that algebraization has been successfully applied to classical and nonclassical logics (Rasiowa and Sikorski, 1968). Following this direction, an ordered-based approach to the problem of finding out a tool to describe algebraic semantics of Zadeh's fuzzy logic has been introduced and developed by Nguyen Cat-Ho and colleagues during the last decades. In this line of research, RH algebra has been introduced in [20] as a unified algebraic approach to the natural structure of linguistic domains of linguistic variables. It was shown that every RH algebra of a linguistic variable with a chain of the primary terms is a distributive lattice. In this paper we will examine algebraic structures of RH algebras corresponding to linguistic domains having exactly two distinct primary terms, one being an antonym of the other, called symmetrical RH algebras. Computational results for the relatively pseudo-complement operation in these algebras will be given.