By Xiang Li

ISBN-10: 364236375X

ISBN-13: 9783642363757

ISBN-10: 3642363768

ISBN-13: 9783642363764

It offers fuzzy programming method of resolve real-life choice difficulties in fuzzy setting. in the framework of credibility idea, it presents a self-contained, finished and updated presentation of fuzzy programming versions, algorithms and purposes in portfolio analysis.

**Read Online or Download Credibilistic Programming: An Introduction to Models and Applications PDF**

**Similar operations research books**

**Applied Linear Statistical Models 5th Edition - download pdf or read online**

Utilized Linear Statistical types fifth version is the lengthy proven major authoritative textual content and reference on statistical modeling, research of variance, and the layout of experiments. for college students in such a lot any self-discipline the place statistical research or interpretation is used, ALSM serves because the common paintings.

This booklet surveys state of the art optimization modeling for layout, research, and administration of instant networks, akin to mobile and instant neighborhood quarter networks (LANs), and the providers they bring. The prior twenty years have noticeable a big progress within the deployment and use of instant networks.

**Bricolage, Care and Information: Claudio Ciborra’s Legacy in - download pdf or read online**

Claudio Ciborra was once the most leading edge thinkers within the box of data structures. This e-book explains the highbrow contribution of Ciborra's paintings in a considerable introductory bankruptcy, comprises the main major of his articles, and gives a pattern of study that pulls from his rules.

**Download PDF by E. Bolland: Clout: Finding and Using Power at Work**

There's one significant component that explains enterprise activities that has to date escaped thorough exploration. That issue is clout, or because it is extra largely understood, strength. people with clout within the company organisations make the selections and effect what the enterprise does. but the origins and makes use of of clout are hidden.

- Markov Chains and Invariant Probabilities
- Green Transportation Logistics: The Quest for Win-Win Solutions
- Approximate Behavior of Tandem Queues
- Integer Programming

**Extra info for Credibilistic Programming: An Introduction to Models and Applications**

**Example text**

As a result, if we take portfolios x = (1, 0, 0) and y = (0, 1, 0), it is difficult to decide which one is better. In fact, it follows form the independence that fuzzy vector (ξ1 , ξ2 ) has a joint credibility function ν = ν1 ∧ ν2 . 5. t. x1 + x2 + x3 = 1 ⎪ ⎩ x1 , x2 , x3 ≥ 0. It is easy to calculate that the optimal portfolio is x ∗ = (0, 1, 0). t. x1 + x2 + x3 = 1 ⎪ ⎩ x1 , x2 , x3 ≥ 0. In this case, the optimal portfolio is x ∗ = (1, 0, 0). 3 Genetic Algorithm For a general credibilistic programming model, if the credibilistic mappings have analytical expressions and the objective and constraint functions have good mathematical properties, such as differentiability and convexity, we can design efficient solution algorithms by using the Kuhn-Tucker conditions.

For any α1 x1 + α2 x2 = x, we have x1 < a1 or x2 < a2 . Then it follows from the Zadeh extension principle that ν(x) = 0. Case 2. a ≤ x < b. It follows from the Zadeh extension theorem that ν(x) = sup a1 ≤y1 ≤b1 ,a2 ≤y2 ≤b2 ,α1 y1 +α2 y2 =x ν1 (y1 ) ∧ ν2 (y2 ) . Since ν1 is increasing on the interval [a1 , b1 ] and ν2 is increasing on the interval [a2 , b2 ], the vector (y1 , y2 ) which maximizes the binary function ν1 ∧ ν2 should satisfy the following equations α1 y1 + α2 y2 = x, (y1 − a1 )/(b1 − a1 ) = (y2 − a2 )/(b2 − a2 ).

Conversely, we assume Cr{ξ = e} = 1. Then we immediately have Cr{(ξ − e)2 ≥ r} = 0 for any r > 0. Thus ∞ V [ξ ] = Cr (ξ − e)2 ≥ r dr = 0. 0 The theorem is proved. Let ξ be a fuzzy variable that takes values in [a, b], but whose credibility function is otherwise arbitrary. If its expected value is given, above theorem tells us that its minimum variance is zero. On the other hand, what is the possible maximum variance? The following maximum variance theorem will answer this question. 4 (Li et al.

### Credibilistic Programming: An Introduction to Models and Applications by Xiang Li

by Christopher

4.5