In this paper, some elementary operations on Triangular fuzzy numbers (TFNs) are defined. We also define some operations on Triangular fuzzy matrices (TFMs) such as trace and Triangular fuzzy determinant (TFD). Using elementary operations, some important properties of TFMs are presented. The concept of adjoints on TFM is discussed and some of their properties are. Some special types of TFMs (e.g. pure and fuzzy Triangular, symmetric, pure and fuzzy skew-symmetric, singular, semi-singular, constant) are defined and a number of properties of these TFMs are presented.

In this study, new methods to construct Triangular norms and Triangular conorms on appropriate bounded lattices are introduced. Some illustrative examples are given for clarity. Also, the relation between introduced methods and some other approaches is investigated. Finally, it is shown that the introduced construction methods can be generalized by induction to a modified ordinal sum for Triangular norms and Triangular conorms on appropriate bounded lattices. And some illustrative examples are given.

A Triangular tile latching system consists of a set $\Sigma$ of equilateral Triangular tiles with at least one latchable side and an attachment rule which permits two tiles to get latched along a latchable side. In this paper we determine the language generated by a Triangular tile latching system in terms of planar graphs.

A watching system in a graph G=(V, E) is a set W={w1, w2, …,wk}, where wi=(vi, Zi); viÎ V and Zi is a subset of closed neighborhood of vi such that the sets LW(v) ={wi: vÎZi} are non-empty and distinct, for any v ÎV. In this paper, we study the watching systems of line graph Kn which is called Triangular graph and denoted by T (n). The minimum size of a watching system of G is denoted by w (G). We show that w (T(n))= [2n/3].

We survey some recent results on cocharacters of upper Triangular matrices. In particular, we deal both with ordinary and graded cocharacter sequence; we list the principal combinatorial results; we show different techniques in order to solve similar problems.

In this paper, the hydraulic characteristics of a sharp crested Triangular side weir have been experimentally studied. It was found that the DeMarchi coefficient of discharge for a sharp crested Triangular side weir in subcritical flow is related to the main channel Froude number, the apex angle of weir and ratio of weir height to upstream depth of flow. Suitable equations for discharge coefficient are also obtained.

Interpretation of MR imaging of the wrist may be difficult because of the small size of this joint, its complex anatomy, and its sometimes poorly understood pathologic lesions. A recent study revealed that MR imaging of the wrist influences clinicians' diagnoses and management plans in most patients. Which structures make up the Triangular fibrocartilage complex (TFCC) are not universally agreed upon. In most descriptions, however, the TFCC is composed of the Triangular fibrocartilage (TFC), the meniscus homolog, the ulnar collateral ligament, the dorsal and volar radioulnar ligaments and the sheath of the extensor carpi ulnaris tendon. The ulnolunate and ulnotriquetral ligaments may also be considered as part of the TFCC. These structures are a complex unit that function as a stabilizing element in the pivot movement of the radius and ulna and limit the lateral deviation of the carpus. The distal radioulnar joint is primarily stabilized by the TFCC. The TFC functions as a cushion between the ulnar head and carpal bones. Many of the structures that make up the complex are connected by fibrous bands. This presentation summarizes the current diagnostic criteria that can be useful in interpreting abnormalities of the Triangular fibrocartilage complex (TFCC) of the wrist in this difficult topic in joint MR imaging.