Fuzzy functions in fuzzy logic with fuzzy equality
Vilém Novák (2001)
Acta Mathematica et Informatica Universitatis Ostraviensis
Similarity:
Vilém Novák (2001)
Acta Mathematica et Informatica Universitatis Ostraviensis
Similarity:
Adam Grabowski (2017)
Formalized Mathematics
Similarity:
In the article we present in the Mizar system the catalogue of nine basic fuzzy implications, used especially in the theory of fuzzy sets. This work is a continuation of the development of fuzzy sets in Mizar; it could be used to give a variety of more general operations, and also it could be a good starting point towards the formalization of fuzzy logic (together with t-norms and t-conorms, formalized previously).
Juan Luis Castro (1999)
Mathware and Soft Computing
Similarity:
In this paper we try to answer the following questions: What can be made by applying fuzzy logic? and What can not be made by applying fuzzy logic? The question will be analyzed from both a theoretical and an applied point of view. A (partial) answer will be given for three topics: a) as calculus procedure b) as reasoning mechanism and c) as engineering tool.
Lotfi Zadeh (2002)
International Journal of Applied Mathematics and Computer Science
Similarity:
Computing, in its usual sense, is centered on manipulation of numbers and symbols. In contrast, computing with words, or CW for short, is a methodology in which the objects of computation are words and propositions drawn from a natural language, e.g., small, large, far, heavy, not very likely, the price of gas is low and declining, Berkeley is near San Francisco, it is very unlikely that there will be a significant increase in the price of oil in the near future, etc. Computing with...
Ludovic Lietard, Daniel Rocacher (2009)
Control and Cybernetics
Similarity:
Nedzad Dukic, Zikrija Avdagic (2004)
Mathware and Soft Computing
Similarity:
In this paper we establish equivalence between a theory of fuzzy functional dependences and a fragment of fuzzy logic. We give a way to interpret fuzzy functional dependences as formulas in fuzzy logic. This goal is realized in a few steps. Truth assignment of attributes is defined in terms of closeness between two tuples in a fuzzy relation. A corresponding fuzzy formula is associated to a fuzzy functional dependence. It is proved that if a relation satisfies a fuzzy functional dependence,...
Ulrich Bodenhofer, Peter Bauer (2005)
Kybernetika
Similarity:
This contribution is concerned with the interpretability of fuzzy rule-based systems. While this property is widely considered to be a crucial one in fuzzy rule-based modeling, a more detailed formal investigation of what “interpretability” actually means is not available. So far, interpretability has most often been associated with rather heuristic assumptions about shape and mutual overlapping of fuzzy membership functions. In this paper, we attempt to approach this problem from a...
Nikolai G. Nikolov (2002)
Mathware and Soft Computing
Similarity:
The Liar paradox, or the sentence I am now saying is false its various guises have been attracting the attention of logicians and linguists since ancient times. A commonly accepted treatment of the Liar paradox [7,8] is by means of Situation semantics, a powerful approach to natural language analysis. It is based on the machinery of non-well-founded sets developed in [1]. In this paper we show how to generalize these results including elements of fuzzy and intuitionistic...
Y. Xu, J. Lin, Da Ruan (2001)
Mathware and Soft Computing
Similarity:
To investigate more reasonable fuzzy reasoning model in expert systems as well as more effective logical circuit in fuzzy control, a (T, ⊥, N) fuzzy logic is proposed in this paper by using T-norm, ⊥-norm and pseudo-complement N as the logical connectives. Two aspects are discussed: (1) some concepts of (T, ⊥, N) fuzzy logic are introduced and some properties of (T, ⊥, N) fuzzy logical formulae are discussed. (2) G-fuzzy truth (falsity) of (T, ⊥, N) fuzzy logical formulae are investigated...