In this paper a concept of evaluation schema for uncertain statements is proposed. The aim is to represent and process knowledge and to support decision making under uncertainty, involving the information with unmeasurable uncertainty in the reasoning process. This ’uncertainty logic’ is based on fuzzy logics and Łukasiewicz three-valued logic, but it’s underlied by a richer structure that make...

In this paper, the notion of fuzzy semicompactness degrees isintroduced in $L$-fuzzy topological spaces by means of theimplication operation of $L$. Characterizations of fuzzysemicompactness degrees in $L$-fuzzy topological spaces  areobtained, and some properties of fuzzy semicompactness degrees areresearched.

In this paper we show that there is no left adjoint to the inclusion functor from the full subcategory C 0 of Scott domains (i.e., consistently complete ! algebraic cpo's) to SFP, the category of SFP-objects and Scott-continuous maps. We also show there is no left adjoint to the inclusion functor from C 0 to any larger category of cpo's which contains a simple ve-element domain. As a corollary,...

We introduce the concept of the intuitionistic fuzzy proximity as a generalization of fuzzy proximity, and investigate its properties. Also we investigate the relationship among intu-itionistic fuzzy proximity and fuzzy proximity, and intuitionistic fuzzy topology. 1. Introduction. As a generalization of fuzzy sets, the concept of intuitionistic fuzzy sets was introduced by Atanassov [1]. Recen...

A fuzzy aspect is introduced into L systems and some of its properties are investigated. The relationship between fuzzy L languages and the fuzzy languages generated by fuzzy grammar defined by Lee and Zadeh is elucidated. The concept of fuzzy entropy of a string is proposed as a measure of fuzziness of the latter. Some relationship between fuzzy L systems and the ordinary L systems is discussed.

The starting point of this paper is the introduction of a new measure of inclusion of fuzzy set A in fuzzy set B. Previously used inclusion measures take values in the interval [0,1]; the inclusion measure proposed here takes values in a Boolean lattice. In other words, inclusion is viewed as an Lfuzzy valued relation between fuzzy sets. This relation is reflexive, antisymmetric and transitive,...

3 Thomas, T. Y., Discretization in Galactic Structure and Cosmology, The RAND Corporation, RM-3990-RC, in press. 4Wilson, A. G., Astron. J., 68, 547 (1963). 5 Wilson, A. G., Galactic Scale Discretization-II: Observations, The RAND Corporation, RM3771-RC, in press. 6 Neyman, J., Stochastic Approach to Cosmology (1963). 7 Humason, M. L., N. U. Mayall, and A. R. Sandage, Astron. J., 61, 97 (1956)....

The starting point of this paper is the introduction of a new measure of inclusion of fuzzy set A in fuzzy set B. Previously used inclusion measures take values in the interval [0,1]; the inclusion measure proposed here takes values in a Boolean lattice. In other words, inclusion is viewed as an Lfuzzy valued relation between fuzzy sets. This relation is reflexive, antisymmetric and transitive,...

A fuzzy aspect is introduced into L systems and some of its properties are investigated. The relationship between fuzzy L languages and the fuzzy languages generated by fuzzy grammar defined by Lee and Zadeh is elucidated. The concept of fuzzy entropy of a string is proposed as a measure of fuzziness of the latter. Some relationship between fuzzy L systems and the ordinary L systems is discussed.

The definition of $L$-fuzzy Q-convergence spaces is presented by Pang and Fang in 2011. However, Cartesian-closedness of the category of $L$-fuzzy Q-convergence spaces is not investigated. This paper focuses on Cartesian-closedness of the category of $L$-fuzzy Q-convergence spaces, and it is shown that  the category $L$-$mathbf{QFCS}$ of $L$-fuzzy Q-convergence spaces is Cartesian-closed.