In that paper, the fuzzy nonlinear programming problem is discussed. In order to obtain more accurate solution, the properties of fuzzy set and fuzzy number with linear membership function and fuzzy maximum decision maker is utilized to fuzzifying the crisp problem. In the illustration, we have given a refinement to obtain this solution.

In this paper, a new class of generalized separation axioms (briefly, g-Tg-separation axioms) whose elements are called g-Tg,K, g-Tg,F, g-Tg,H, g-Tg,R, g-Tg,N-axioms is defined in terms sets g-Tg-sets) topological spaces Tg-spaces) and the properties characterizations Tg-space endowed with each such discussed. The study shows that g-Tg,F-axiom implies g-Tg,K-axiom, g-Tg,H-axiom g-Tg,F-axiom, g-...

The main purpose of this study is to discuss the uniform boundednessprinciple in fuzzifying topological linear spaces. At first theconcepts of uniformly boundedness principle and fuzzy equicontinuousfamily of linear operators are proposed, then the relations betweenfuzzy equicontinuous and uniformly bounded are studied, and with thehelp of net convergence, the characterization of fuzzyequiconti...

Since Chang [2] introduced fuzzy theory into topology, many authors have discussed various aspects of fuzzy topology. It is well known that weakly induced and induced topological spaces play an important role in L-topological spaces (see book [8]). According to their value ranges, L-topological spaces form different categories. Clearly, the investigation on their relationships is certainly impo...

This article presents an axiomatic expression of science education: [SCIENCE EDUCATION] is a system of teaching [SCIENCE]. The axiom includes two indefinable terms, [SCIENCE EDUCATION] and [SCIENCE]. In the same way that axiomatics of geometry distinguishes among axioms, postulates and theorems, the axiom presupposes a distinction among the three stages of cognition: axiom, postulate and theore...

The idea that the head of an expression determines the type of that expression is a deeply entrenched axiom of modern linguistics. It is the basis of X-Bar Theory and Dependency Grammar and a key notion underlying Head Driven Phrase Structure Grammar (HPSG) and Generalized Phrase Structure Grammar (GPSG). It has a long history dating back at least to Bloomfield’s notion of endocentric construct...