Ranking of fuzzy numbers plays a very important role in linguistic decision making and some other fuzzy application systems. Several strategies have been proposed for ranking of fuzzy numbers. Each of these techniques has been shown to produce nonintuitive results in certain cases. In this paper, some new approaches for ranking of trapezoidal fuzzy numbers are introduced. Keywords— Magnitude of...

Fuzzy measures have been widely used to determine the degrees of subjective importance of evaluation items. However, the leniency error may exist when most attributes are assigned unduly high ratings. Because respondents often assign similarly complimentary scores, errors of positive leniency make it difficult to differentiate the importance of decision attributes. To reduce positive leniency i...

Alspach conjectured that every connected Cayley graph on a finite Abelian group A is Hamiltondecomposable. Liu has shown that for |A| even, if S = {s1, . . . , sk} ⊂ A is an inverse-free strongly minimal generating set of A, then the Cayley graph Cay(A;S?), is decomposable into k Hamilton cycles, where S? denotes the inverse-closure of S. Extending these techniques and restricting to the 6-regu...

It is well-known that all orthogonal arrays of the form OA(N, t+1, 2, t) are decomposable into λ orthogonal arrays of strength t and index 1. While the same is not generally true when s = 3, we will show that all simple orthogonal arrays of the form OA(N, t + 1, 3, t) are also decomposable into orthogonal arrays of strength t and index 1.

the purpose of this study has been concretized in terms of impact of mobileadvertising on the purchase decision of the consumer and aimed to answer toresearch questions: which is the underlying structure of criteria in mobileadvertising? and which criteria are important for consumers in evaluatingmobile advertising? a sample of consumers in taiwan was surveyed and usingfuzzy judgment to determi...

The /»/'-component of a (An l)-dimensional homotopy sphere 2 e 64„ | = hP4n © (Coker7)4„_ , bounding a spin manifold M is shown to be computable in terms of the signature and the decomposable Pontrjagin numbers of M. Let Bm_i be the group of /»-cobordism classes of (m l)-dimensional homotopy spheres and let bPm C 8m_1 be the subgroup of those homotopy spheres bounding parallelizable w-manifolds...

Failure mode and effects analysis (FMEA) is a popular and useful approach applied to examine potential failures in different products, designs, processes, and services. As a vital index, the risk priority number (RPN) can determine the risk priorities of failure modes by some risk factors such as occurrence (O), severity (S), and detection (D). However, in FMEA, the traditional risk priority nu...

Let ξ be a (possibly killed) subordinator with Laplace exponent φ and denote by Iφ = ∫∞ 0 e−ξsds, the so-called exponential functional. Consider the positive random variable Iψ1 whose law, according to Bertoin and Yor [6], is determined by its negative entire moments as follows E[I ψ1 ] = n ∏ k=1 φ(k), n = 1, 2 . . . . In this note, we show that Iψ1 is a positive self-decomposable random variab...

a new approach to define the similarity measure betweeninterval-valued fuzzy sets is presented. the proposed approach isbased on a weighted measure in which the normalized similaritiesbetween lower functions and also between upper functions arecombined by a weight parameter. the properties of this similaritymeasure are investigated. it is shown that, the proposed measurehas some advantages in c...