Hierarchical generation of α-Pareto optimal solutions in large-scale multi-objective non-linear systems with fuzzy parameters

This paper proposes a decomposition method for hierarchical generation of α-Pareto optimal solutions in large-scale multi-objective non-linear programming (MONLP) problems with fuzzy parameters in the objective functions and in the constraints (FMONLP). These fuzzy parameters are characterized by fuzzy numbers. For such problems, the concept of α-Pareto optimality introduced by extending the ordinary Pareto optimality based on the α-level sets of fuzzy numbers. The decomposition method is based on the principle of decompose the original problem into interdependent sub-problems. In this method, the global multi-objective non-linear problem is decomposed into smaller multi-objective sub-problems. The smaller sub-problems, which obtained solved separately by using the weighting method and through an operative procedure. All these solution are coordinates in such a way that an optimal solution for the global problem achieved. In addition, an interactive fuzzy decision-making algorithm for hierarchical generation of α-Pareto optimal solution through the decomposition method is developed. Finally, two numerical examples given to illustrate the results developed in this paper.     

Regioselective Synthesis of Substituted Triazolium Salts via 1,3-Dipolar Cycloaddition Reactions

The regioselectivity of 1,3-dipolar cycloaddition reactions of 1-aza-2-azoniaallene salts with ,-unsaturated nitriles such as acrylonitrile or cyclohexylidene acetonitrile afforded only 1,2,4-triazolium salts via addition to the nitrile group, while the other expected pyrazolium salts were not observed. Moreover, 1-aza-2-azonia-allene salts reacted with other competitive systems such as -iminonitrile derivatives yielding only triazolium salts via addition to the nitrile and not to the imino group. Treatment of cumulene with 3-pyridylnitrile afforded the pyridinium salt. However, 2,3-dimethyl-5-(2,6-dimethoxyphenyl)-[1,2,4]triazole could be prepared from cumulene and 2,6-dimethoxybenzonitrile. Some reactions of nitriles with 1-aza-2-azonia-allene salts prepared from 1,2,3-indantrione and 9-acetylphenanthrene are discussed.     

Microcoated wire sensors for the determination of anticancer drugs cyclophosphamide and ifosphamide in the presence of their degradates

The construction and electrochemical response characteristics of poly (vinyl chloride) and poly (vinyl chloride) carboxylate membrane sensors for the determination of cyclophosphamide and ifosphamide are described. Based on the formation of an ion-pair complex between the drug cation and sodium tetraphenylborate, two poly (vinyl chloride) sensors, namely a cyclophosphamide membrane sensor and ifosphamide membrane sensor were fabricated. They show a linear response for both drugs over the concentration range 10⁻²–10⁻⁴ M with cationic slopes of 56 and 54.6 mV per concentration decade, for sensor 1 and sensor 2, respectively. Based on the interaction between the drug solution and the dissociated COOH groups in the poly (vinyl chloride) carboxylate, sensor 3 was fabricated. It shows a linear response for both drugs over the concentration range 10⁻³–10⁻⁵ M with a cationic slope of 49.7 mV per concentration decade. The direct potentiometric determination of cyclophosphamide and ifosphamide in their pharmaceutical preparations using the proposed sensors gave average recoveries of 101.3±0.6, 100.8±10.7 and 102.0±11.0% for the sensors 1, 2 and 3, respectively, which compares reasonably well with the data obtained using the British Pharmacopoeial method (1993). Sensors 1 and 2 were also used to follow up the stability of the drugs studied in the presence of their degradates. These degradation products have no diverse effect on the responses of sensors 1 and 2.     

On Condensation Reactions of Aceanthrene Quinone: Novel Heterocycles

Summary.  It was found that aceanthrene quinone can be condensed with ethylenediamine, 1,2-diaminobenzene, 4-nitro-1,2-diaminobenzene, 1,2-diaminoanthrene quinone, and 4,5,6-triaminopyrimidine derivatives to give aceanthryleno[1,2-b]pyrazine and aceanthryleno[1,2-g]pteridine derivatives. Condensation of aceanthrene quinone with 2-aminoguanidine, semicarbazide, and thiosemicarbazide yielded aceanthryleno[1,2-e]triazines, condensation with 6-hydrazinopyrimidine derivatives gave 3,4-aceanthrylenopyrimido[4,5-c]pyridazines. Reaction of aceanthrene quinone with 2-cyanoethanoic acid hydrazide afforded 10,11-dihydro-10-oxo-aceanthryleno[1,2-c]pyridazine-9-carbonitrile. Treatment of aceanthrene quinone with malononitrile and hydrazine hydrate resulted in 10-aminoaceanthryleno[1,2-c]pyridazine-9-carbonitrile. The antibacterial effects of the prepared compounds were tested. Three of the compounds were tested against 60 cancer types. Received May 6, 2001. Accepted June 5, 2001     

Concerning the reaction of 2-(10-diazo-10H-anthracen-9-ylidene)-malonodinitrile and related compounds with the cryptohydride system formic acid-triethylamine

Summary The reaction of 2-(10-diazo-10H-anthracen-9-ylidene)-malonodinitrile (1) with the cryptohydride system formic acid - triethylamine was studied. The reaction product turned out to be anthracen-9-yl-acetonitrile (2a) instead of the expected 10-dicyanomethyl-9,10-dihydro-anthracene-9-yl formate. Compounds related to1 yielded in this reaction the corresponding 10-substituted anthracen-9-yl-acetonitriles. A mechanism of this reaction is proposed. The product of the formic acid promoted decomposition of1, compound3b, as well as its tautomer4b were also obtained.

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Zur Reaktion von 2-(10-Diazo-10H-anthracen-9-yliden)-malodinitril und Verwandten Verbindungen mit dem Kryptohydridsystem Ameisensäure - Triethylamin

Zusammenfassung Die Reaktion von 2-(10-Diazo-10H-anthracen-9-yliden)-malodinitril (1) mit dem Kryptohydridsystem Ameisensäure — Triethylamin wurde untersucht. Das Umsetzungsprodukt stellte sich als Anthracen-9-yl-acetonitril (2a) und nicht als erwartetes 10-Dicyanomethyl-9,10-dihydroanthracen-9-yl-format heraus. Verwandte Verbindungen reagierten in dieser Reaktion zu 10-substituierten Anthracen-9-yl-acetonitrilen. Ein Mechanismus für diese Reaktion wird vorschlagen. Das Produkt der durch Ameisensäure initiierten Zersetzung von1, Verbindung3b, wie auch sein Tautomer4b, wurden ebenfalls dargestellt.

     

Access to the 2,3-dihydropyridazin-3-one and as-triazino[3,4-a]phthalazine ring systems from 4-aryl-2-oxo-butanoic acids

A novel series of 2,3-dihydropyridazin-3-ones 15 were synthesized via condensation between hydrazines and 4-(p-chlorophenyl)-2-hydroxy-2-(2-oxo-2-substituted ethyl)butanoic acids 8 which in turn were prepared by the reaction of substituted benzylpyruvic acids 6 with methyl alkyl(aryl) ketones 7. Dehydration of 8b-d by a mixture of glacial acetic acid and hydrochloric acid afforded 4-(p-chorophenyl)-2-(substituted phenacyl)-2-butenoic acids 10. Condensation reaction of 10 with hydrazines gave type 15 compounds in good yields. Also, a new series of as-triazino[3,4-a]phthalazines 20 was obtained from the reaction of substituted benzylpyruvic acids 6 with hydralazine to give the hydralazones 19 which underwent dehydrative cyclization reaction with PPA to afford 20. Structure assignments are based on ¹H, ¹³C nmr and ir spectra.     

Synthesis of 1,2,4-triazolium salts: Reaction of 1-azo-2-azonia-allene salts with nitriles

Summary Alkyl ketone hydrazones1 are oxidized withtert-butylhypochlorite to give geminal chloro azo compounds2. These react with SbCl₅ to give 1-aza-2-azonia-allene salts3 as reactive intermediates which are intercepted with nitriles to yield 3H-1,2,4-triazolium salts5. In most cases these salts rearrange spontaneously to form 1H-triazolium salts6. Hydrolysis of6e–g by NaOH provide bases7a–c, which react with picric acid to give 1H-pyrazolium picrates8.

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Synthese von 1,2,4-Triazoliumsalzen: Reaktion von 1-Azo-2-azonia-allensalzen mit Nitrilen

Zusammenfassung Alkylketonhydrazone1 werden durchtert-Butylhypochlorit zu geminalen Chlorazoverbindungen2 oxidiert. Diese reagieren mit SbCl₅ zu 1-Aza-2-azonia-allensalzen3, welche mit Nitrilen unter Bildung von 3H-1,2,4-Triazoliumsalzen5 abgefangen werden. In den meisten Fällen lagern diese spontan zu 1H-Triazoliumsalzen6 um. Hydrolyse von6e–g mit NaOH führt zu den Basen7a–c, welche mit Pikrinsäure 1H-Pyrazoliumpikrate8 bilden.

     

Fluorinated 4H-1,3-diazepines by reaction of difluorocarbene with 2H-azirines

5,7-Diaryl-2-fluoro-4H-1,3-diazepines have been synthesized from 3-aryl-substituted 2H-azirines and difluorocarbene. The reaction involves isomerization of azirinium ylide into a 2-aza-1,3-diene which undergoes [4+2]-cycloaddition with the starting azirine followed by ring expansion and dehydrofluorination.     

Ring closure reactions involving 1-hydrazinophthalazine. Reactions with 1,2,4-tricarbonyl and 1,3-dicarbonyl compounds

Annelation reactions of six-membered rings to 1-hydrazinophthalazine, 1, were investigated. With aroyl-(acyl)pyruvates, 2, the desired system was obtained. It was found that the course of the reaction depends on the reaction condition as well as the substituted pyruvates. Thus, 3-(2-oxo-2-substituted ethyl)-4H-as-triazino-[3,4-a]phthalazin-4-one, 4, was the product when 1 reacted with 2 in alcoholic medium. The side chain tauto-merism of 4 was studied by using ir, ¹H-nmr, and ms spectral methods. When 1 hydrochloride instead of 1 was reacted with 2, 3-ethoxycarbonyl-s-triazolo[3,4-a]phthalazine, 6, was the major product. The reaction of 1 with benzoylacetone in ethanol afforded the hydrazalone, 9. By ir, ¹H-nmr, and ¹³C-nmr methods it was shown that in solution it is inolved in an enhydrazine-hydrazone as well as a ring-chain tautomerism. Compound 9 upon the action of PPA underwent dehydrative cyclization to 3-methyl-s-triazolo[3,4-a]phthalazine, 10, and 3-methyl-5-phenyl-1-(l-phthalazinyl)pyrazole, 7. The reaction of 1 with ethyl phenylpropiolate in ethanol was reported by others to give 1-(1-phthalazinyl)-3-phenyl-5-pyrazolone, 8. Upon reinvestigation of this reaction it is shown that the product actually is ethyl β-(1-phthalazinylhydrazono)benzenepropanoate, 11. Attempts to synthesize 8 were unsuccessful by this method. In the reaction of 1 with ethyl benzoylacetate the expected hydralazone 11 was easily formed which upon reaction with PPA yielded the desired species 8.     

On The Chemistry of Cinnoline IV [1]. Synthesis and Reactions of (4-Aminocinnolin-3-yl)-aryl-methanones

Summary.  The synthesis of a series of disubstituted (4-aminocinnolin-3-yl)-aryl-methanones from aryl-hydrazonomalononitrile in a one-step procedure is described. Cyclocondensation of (4-amino-6,8-dimethyl-cinnolin-3-yl)-phenyl-methanone with malononitrile, diethylmalonate, and dimethylacetamide-dimethylacetal gave the corresponding pyrido[3,2-c]cinnoline derivatives. Treatment of (4-amino-6,8-dimethyl-cinnolin-3-yl)-phenyl-methanone with triethyl-orthoacetate under reflux readily afforded the corresponding imidoester which underwent cyclization to a pyrido[3,2-c]cinnoline derivative. This starting compound could also be annelated to the corresponding 1,2-dihydro-4-aryl-2-oxo-pyrido[3,2-c]cinnoline derivatives via the (4-acetamidocinnolin-3-yl)-aryl-methanones. Chemical and spectroscopic evidences for the structures of the new compounds are presented. The effect of three of the compounds against sixty cancer types was tested. Received November 27, 2000. Accepted December 4, 2000