Some Basic Operations on Fuzzy Sets and a Generalization of T-norm Operations on Fuzzy Numbers by Using Interval Representation (I) : Some Basic Fuzzy Sets Operations and Max Min Fuzzy Numbers Operation
نویسندگان
چکیده
منابع مشابه
Some Basic Operations on Pythagorean Fuzzy Sets
In this paper we present a short but important summary of Pythagorean fuzzy sets. Especially we discuss several basic and important definitions of Pythagorean fuzzy sets, several operations on Pythagorean fuzzy sets, several algebraic laws of Pythagorean fuzzy sets. In the last we also present the concept of modal operators and normalization on Pythagorean fuzzy sets.
متن کاملSome operations on intuitionistic fuzzy sets
In This paper, Author Discuss about some operations on Intuitionistic Fuzzy sets (or vague sets) we understand that the most important and potential generalization of Fuzzy sets came in the form of intuitionistic Fuzzy sets developed by Atnassove. It is justified by Bustince and Burillo[2] that intuitionistic fuzzy sets and vague sets are same. So in this paper the two terminologies vague sets ...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولOn Some Divergence Measures between Fuzzy Sets and Aggregation Operations
In the present communication, three new divergence measures between fuzzy sets are proposed. The validity of these divergence measures is examined axiomatically. Relation of the proposed divergence measures with the cardinality of a universe of discourse is established. Some properties of these divergence measures are established. Relation of divergence between fuzzy sets with aggregation opera...
متن کاملSome Operations over Atanassov's Intuitionistic Fuzzy Sets Based on Einstein T-norm and T-Conorm
We define some operations over Atanassov’s intuitionistic fuzzy sets (AIFSs), such as Einstein intersection, Einstein product, Einstein scalar multiplication and Einstein exponentiation, etc., and then define new concentration and dilation of AIFSs. These definitions will be useful while dealing with various linguistic hedges like “very”, “more or less”, “highly”, “very very” etc., involved in ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Japan Society for Fuzzy Theory and Systems
سال: 1993
ISSN: 0915-647X,2432-9932
DOI: 10.3156/jfuzzy.5.5_1122