A single machine stochastic scheduling problems with the jobs' processing times are considered the random of uniform distribution and the objective is to find an optimal schedule to minimize the expectation of the...
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ISBN:
(纸本)9783642148798
A single machine stochastic scheduling problems with the jobs' processing times are considered the random of uniform distribution and the objective is to find an optimal schedule to minimize the expectation of the weighted numbers of tardy jobs from a common due date. By theoretical analysis, the problem formulation of the expectation of the weighted numbers of tardy jobs can be given. For the two cases (1) the weights of jobs are equal and (2) the weights of jobs are proportional to their processing times, the SEPT (shortest expected processing time first) is optimal. Joint use solution the SEPT and the LEPT (longest expected processing time first) is optimal in the case of the expected processing time is non-proportional to weighty of the jobs. The optimality of the algorithms is proved.
A class of linear programming problems based on the possibility and necessity relation is introduced. By using the degree of possibility and necessity, the fulfillment of the constraints can be measured. Then the prop...
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ISBN:
(纸本)9783642148798
A class of linear programming problems based on the possibility and necessity relation is introduced. By using the degree of possibility and necessity, the fulfillment of the constraints can be measured. Then the properties of ranking index are discussed. With this ranking index, the bound of optimal solution is obtained at different degree of possibility and necessity, that constitute a nested set. In the end, the membership function of fuzzy solution is also presented as well as a numerical example.
Using fuzzy structured element method we investigate a fully fuzzy linear system whose coefficient matrix is a fuzzy matrix and right hand side column is an arbitrary fuzzy vector. According to homeomorphic property b...
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ISBN:
(纸本)9783642148798
Using fuzzy structured element method we investigate a fully fuzzy linear system whose coefficient matrix is a fuzzy matrix and right hand side column is an arbitrary fuzzy vector. According to homeomorphic property between the bounded fuzzy number and the standard monotonic function family with same monotonic form on [-1,1], replace the fully fuzzy linear system by a parametric linear system. Based on the constraint arithmetic operation of fuzzy numbers, the exact fuzzy solutions are obtained by an elimination method. The applicability and superiority of this method are illustrated by two examples.
In this paper, we redefined the complex fuzzy integral using the fuzzy structured element theory, and led into the monotone functions([1]) of the same sequence in the range between [-1,1], we also obtained some proper...
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ISBN:
(纸本)9783642148798
In this paper, we redefined the complex fuzzy integral using the fuzzy structured element theory, and led into the monotone functions([1]) of the same sequence in the range between [-1,1], we also obtained some properties and solution algorithm of complex fuzzy-valued function integral by fuzzy structured element.
In mass concrete casting process of concrete curing because the thickness, strength and anti-permeability level etc a series of uncertain factors exist, and degree of the foundation slab due to a relatively large size...
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ISBN:
(纸本)9783642148798
In mass concrete casting process of concrete curing because the thickness, strength and anti-permeability level etc a series of uncertain factors exist, and degree of the foundation slab due to a relatively large size and thickness of planar thicker, concrete slabs and the control of temperature cannot effectively, it is difficult to make analysis with classical mathematical model, can not truly reflect the massive concrete hydration heat of the actual effect. Based on the basic concept of fuzzy membership function, establishing the transmission coefficient of membership functions, and carrying on the comprehensive analysis and judgment. So example analysis results indicate that the established membership function can be used for mass concrete hydration heat analysis.
It is important for enterprises to make human resources planning scientifically. Ranking criteria of triangular fuzzy numbers was introduced simply and a model of fuzzy integer linear programming decision on demand ex...
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ISBN:
(纸本)9783642148798
It is important for enterprises to make human resources planning scientifically. Ranking criteria of triangular fuzzy numbers was introduced simply and a model of fuzzy integer linear programming decision on demand exceeding supply of human resources was established based on cost minimizing in this paper. Then an example was given to demonstrate this method. And the proposed approach is simple, scientific and feasible to transform triangular fuzzy numbers ranking criteria into the classic linear programming problem on fuzzy decision of enterprise human resources planning under demand exceeding supply.
In this paper, we propose the existence criterion of equilibrium point of fuzzy linear system (k +1) = (A) over tilde (k) based on fuzzy arithmetic with identity constraint and fuzzy number expression based on structu...
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ISBN:
(纸本)9783642148798
In this paper, we propose the existence criterion of equilibrium point of fuzzy linear system (k +1) = (A) over tilde (k) based on fuzzy arithmetic with identity constraint and fuzzy number expression based on structured element. Then we give a solving method of equilibrium point, propose the concept of generalized equilibrium point of fuzzy linear system, and finally, we use the example in macroeconomics to illustrate the necessity of using fuzzy arithmetic with identity constraint and the feasibility of our method.
The mortgage insurance pricing problem is studied when the interest rate is modeled by vasicek model and with m stochastic disturbances. Meanwhile, the process of house prices subjects to the jump-diffusion process. U...
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ISBN:
(纸本)9783642148798
The mortgage insurance pricing problem is studied when the interest rate is modeled by vasicek model and with m stochastic disturbances. Meanwhile, the process of house prices subjects to the jump-diffusion process. Using the principle of the option pricing, we obtain the accurate formulas of two kinds of the mortgage insurance.
In this paper we propose a novel approach of fuzzy rough sets for an information system applied to Web Query. As we know, one of the most common ways to retrieve information from the WWW is keyword search. We combine ...
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ISBN:
(纸本)9783642148798
In this paper we propose a novel approach of fuzzy rough sets for an information system applied to Web Query. As we know, one of the most common ways to retrieve information from the WWW is keyword search. We combine the flexibility of upper approximation with the strictness of lower approximation by applying them successively;we rely on the membership function to deal with graded thesauri and weighted queries, representing the thesaurus as a fuzzy relation and the query as a fuzzy set. A. decision table is achieved by removing redundant attributes without any information loss. The new terms with weights do not only reflect the strength with original individual query ones but also take into account their relevance as a whole. The precision of system evaluation is realized by fuzzy comprehensive estimation on rough sets.
According to the knowledge of interval analysis, relations between natural fuzzy extension and joint fuzzy extension of rational function are discussed in this paper. On the basis of the natural fuzzy extension of rat...
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ISBN:
(纸本)9783642148798
According to the knowledge of interval analysis, relations between natural fuzzy extension and joint fuzzy extension of rational function are discussed in this paper. On the basis of the natural fuzzy extension of rational function, two solutions to the joint fuzzy extension of rational function are put forward. Based on the structured element method, the fuzzy arithmetic with equality constraints is turned into the operation of two monotone functions with the same monotonic form on [0,1]. From this transition we get analytical expression of joint fuzzy extension of the rational function.
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