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Handbook of Management under Uncertainty by Jaime Gil-Aluja (auth.), Jaime Gil-Aluja (eds.)

By Jaime Gil-Aluja (auth.), Jaime Gil-Aluja (eds.)

A mere few years in the past it's going to have appeared unusual to suggest a guide at the therapy of administration difficulties inside a sphere of uncertainty. Even this day, at the threshold of the 3rd millennium, this assertion may possibly impress a undeniable wariness. in reality, to inn to unique or random info, that's possible date, is sort of common and con­ venient, as we then understand the place we're going top, the place we're featuring to move if all happens because it is conceived and was hoping for. to regard doubtful details, to just accept a brand new precept and from there made up our minds standards, with no being yes of oneself and confiding in simple terms within the will to higher comprehend items and phenomena, constitutes and compromise with a brand new kind of realizing the behaviour of present beings that is going even additional than easy rationality. fiscal technology and especially using its components of configuration on the earth of administration, has imbued a number of generations with an analytical spirit that has given upward push to the elaboration of theories generally authorized via the foreign clinical neighborhood. during this paintings we're featuring whatever a bit extra modest: to exploit, within the very best means, information and data which are to be had for drawing up and making use of options and tools which are precious for present truth in the global of companies and associations, in an try to lie to ourselves as low as possible.

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An interval that preceds in the sense of the order relation (120), N(I) or Ker(l) on which the membership function ~I(X) is not decreasing iii. an interval that succeeds in the sense of the order relation (120), N(I) or Ker(I) on which the membership function ~I(X) is not increasing. Demonstration i. It results immediately from theorem (12) or theorem (13). ii. Given x"xz,yES'(I), XI

Proof If A,B e F(X) and A(lB =CI> then by theorem 2, S(A)nS(B) =CI> . lA(X) O:Sa:S1 =0 and there is the set equality, for any (74) Relations (73) and (74) proove that A,B e F(X) are fuzzy strictly separated. lix»O ifxeS(B) (76) Crisp and noncrisp hierarchical systems in management /49 Condition (76) is fulfiled only if S(A)nS(B) = , so A and B are disjoint fuzzy sets. lx) and PB(X) ifand only if the nuclei of these functions are disjoint crisp sets. Proof Suppose that A ,B e F (X) have membership functions PA(X), PB(X) respectively.

Ed Fondo de Cultura Econ6mica, Madrid, 1981. This work was written in 1962 and it is one of the many works written by the author on this subject. : Lances y desventuras del nuevo paradigma de la teoria de la decision. Proceedings of the III Congress of the International Society For Management and Fuzzy Economy. Buenos Aires, November 10-13, 1996. : Lances y desventuras del nuevo paradigma de fa teoria de decisiOn. Proceedings of the III SIGEF Congress. Buenos Aires November 10-13, 1996. 10 In all our examples on levels of degree in [0, IJ we have considered complementation in relation to truth - false.

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