Table-3 Tabular Representation of air craft in soft set theory
Since the very inception of Soft set theory
proposed by Molodtsov  it met with high appreciation.
Fuzzy set theory
was first introduced by Polish mathematician Pawlak in 1982, and it offers unique advantages in the handling of incomplete and low-accuracy data.
In classical set theory
, the membership of elements in a set is assessed in binary terms: according to a bivalent condition, an element either belongs or does not belong to the set.
The concept combines two different theories which are rough sets theory and interval valued neutrosophic set theory
Loosely speaking, mathematics, especially set theory
, holds out the prospect of a science that does not rely on the deterministic paradigm of classical mechanics, a central image of the mechanical-Marxist approach to the "science of history".
As there exists an established practice of physics, so there exists an established practice of set theory
--and as physics is to be considered as being (roughly) on the right track, so are set theory
Before we pass from the first order logic to the other kinds of logic, respectively to one useful for us, namely Cermelo-Fraenkel set theory
, I wish to make an important remark in order to prevent possible misunderstandings: mathematics can be treated syntactically as a theory with its extensions and as a structure with its expansions.
True, they had decided to use the context of Axiomatic Set Theory
, ZF, as developed by Zermelo and Fraenkel for their work.
It is feasible that a symbiosis of the proposed theory and Vdovin set theory
[1, 2] will permit to formulate a (presumably) non-contradictory axiomatic set theory
which will represent the core of Cantor set theory
in a maximally full manner as to the essence and the contents.
Comparison of fuzzy set theory
and stochastic method in application to the analysis of the load-carrying capacity of steel members under tension, in Proc.
By stating the non-Aristotelian premises in the set theory
notation that we used (a Bourbaki algebraic dialect), we showed these premises as acceptable, as judged by the logical standards of set theory