This paper presents design of an ultra high speed 2x2 polymer electro-optic waveguide switch. Proposed switch has very short switching time (0.47 ps) and trapezoidal grating has following optimized parameters: coupling length, 81 mm; and switching voltage at operating wavelength of 1550 nm, 8.5 V. Proposed switch with smaller size, lower requirement of drive voltage and shorter switching time t...

We have presented trapezoidal intuitionistic fuzzy number. Arithmetic operations of trapezoidal intuitionistic fuzzy number is presented based on (α, β)-cuts. We have presented intuitionistic fuzzy fault tree analysis using trapezoidal intuitionistic fuzzy number. In application of intuitionistic fuzzy fault tree analysis, we have computed failure of fire protection system taking failure of eac...

As an extension of the intuitionistic fuzzy set, intuitionistic trapezoidal fuzzy set is an invaluable mathematical theory to express uncertain phenomenon in our real word. In this article, the aggregation methods of the intuitionistic trapezoidal fuzzy information are chief researched. Firstly, the generalized aggregation operator is introduced for aggregating intuitionistic trapezoidal fuzzy ...

The concept of trapezoidal valued hesitant fuzzy set is introduced. Notion for distance between any two trapezoidal valued hesitant fuzzy elements is given. Using this proposed distance measure, we extend the technique for order preference by similarity to ideal solution for trapezoidal valued hesitant fuzzy sets. An example is constructed to show usefulness of this extension for multicriteria ...

Assume that u; v : [a; b] ! R are monotonic nondecreasing on the interval [a; b] : For p; q > 1 with 1 p + 1 q = 1; we say that the complex-valued function h : [a; b] ! C is (p; q)-H-dominated by the pair (u; v) if jh (y) h (x)j [u (y) u (x)] 1=p [v (y) v (x)] 1=q for any x; y 2 [a; b] with y x: In this paper we show amongst other that Z b a f dh Z b a jf j du 1=p Z b a jf j dv 1=q ; and Z b a ...

Trapezoidal intuitionistic fuzzy numbers (TrIFNs) express abundant and flexible information in a suitable manner and  are very useful to depict the decision information in the procedure of decision making. In this paper, some new aggregation operators, such as, trapezoidal intuitionistic fuzzy weighted power harmonic mean (TrIFWPHM) operator, trapezoidal intuitionistic fuzzy ordered weighted po...

Assume that u; v : [a; b] ! R are monotonic nondecreasing on the interval [a; b] : We say that the complex-valued function h : [a; b] ! C is S-dominated by the pair (u; v) if jh (y) h (x)j 2 [u (y) u (x)] [v (y) v (x)] for any x; y 2 [a; b] : In this paper we show amongst other that Z b a f (t) dh (t) 2 Z b a jf (t)j du (t) Z b a jf (t)j dv (t) ; for any continuous function f : [a; b] ! C. Appl...

Trapezoidal words are words having at most n+1 distinct factors of length n for every n ≥ 0. They therefore encompass finite Sturmian words. We give combinatorial characterizations of trapezoidal words and exhibit a formula for their enumeration. We then separate trapezoidal words into two disjoint classes: open and closed. A trapezoidal word is closed if it has a factor that occurs only as a p...

BACKGROUND Various methods for primary repair of bilateral cleft lip have been developed, but they often produce inadequate results, such as an upturned nose or a short columella. We perform primary lip repair with muscle reconstruction to correct depression of the nasal floor and inferoposterior displacement of the alar base. Then, open rhinoplasty to project the nasal tip is performed during ...

With respect to multiple attribute decision making (MADM) problems in which the attribute value takes the form of intuitionistic trapezoidal fuzzy number, a new decision making analysis method is developed. Firstly, some operational laws and expected values of intuitionistic trapezoidal fuzzy numbers, and distance between two intuitionistic trapezoidal fuzzy numbers, are introduced, and the com...