the operations in the set of fuzzy numbers are usually obtained bythe zadeh extension principle. but these definitions can have some disadvantagesfor the applications both by an algebraic point of view and by practicalaspects. in fact the zadeh multiplication is not distributive with respect tothe addition, the shape of fuzzy numbers is not preserved by multiplication,the indeterminateness of t...

Abstract In this paper, a fuzzy fractional two-stage transshipment problem where all the parameters are represented by numbers is studied. The uses ratio of costs divided benefits as objective function. A solution method which employs extension principle used to find value problem. For purpose, decomposed into two sub-problems each them tackled individually using various $$\alpha$$ <mml:math xm...

In this paper, a fuzzy engineering economic decision model is derived to evaluate the investment feasibility of wind generation project. A straightforward vertex parameters’ fuzzy mathematics operation using the function principle is derived as an alternative to the traditional extension principle, and is applied to evaluate a number of different economic decision indexes. Compared to the exten...

We study the Multi-critical Point Principle (MPP) in a complex singlet scalar extension of Standard Model (CxSM). The MPP discussed this selects model parameters so that two low-energy vacua realized by fields are degenerate. further note may inhibit electroweak phase transition (EWPT) certain class models where tree-level potential plays an essential role its realization. Despite that, we show...

Consider the sub-Riemannian Heisenberg group $\mathbb{H}$. In this paper, we answer following question: given a compact set $K \subseteq \mathbb{R}$ and continuous map $f\colon K \to \mathbb{H}$, when is there horizontal $C^m$ curve $F\colon \mathbb{R} \mathbb{H}$ such that $F|\_K = f$? Whitney originally answered question for real valued mappings, Fefferman provided complete functions defined ...