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Multi-Criteria Decision Making Techniques Based on Some Extensions of Fuzzy Set

Thesis Info

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Author

Faizi, Shahzad

Program

PhD

Institute

University of Management and Technology

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2019

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/11347/1/Shahzad_Faizi_Mathematics_2018_UET_Taxila_12.11.2019.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726731894

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Multi-criteriadecisionmaking(MCDM)isacommonactivityineverydaylifeandtheobjectiveistoselectthe most feasible alternative from a set of given alternatives with the highest level of satisfaction in the presence of multiple, usually conflicting, criteria. Similarly, there are many real-life complex problems, where we need involve wide domain of knowledge which are beyond a single expert. Therefore, it is usually necessary to allocate more than one expert to decision process from different fields, including the education backgrounds, work experience and knowledge structure. Consequently, the multi-criteria group decision making (MCGDM) is also an important tool to deal with human activities and their problems of daily lives. In this thesis, different MCDM/MCGDM techniques are discussed based on some important extensions of fuzzy set. This thesis is comprised of three stages. In the first stage, the MCDM method called the Characteristic Objects Method (COMET) is extended to solve problems for MCGDM with hesitant fuzzy sets (HFSs) and intuitionistic fuzzy sets (IFSs). It is a completely new idea for solving problems of group decision making (GDM) under uncertainty. In this approach, we use L-R-type generalized fuzzy numbers (GFNs) and triangular intuitionistic fuzzy numbers (TIFNs) to get the degree of hesitancy in the form of hesitant fuzzy elements (HFEs) and the degree of membership and non-membership in the form of intuitionistic fuzzy numbers (IFNs) respectively for an alternative under a certain criterion. Therefore, the classical COMET methodwasadaptedtoworkwithGFNsandTIFNsinGDMproblems. Theproposedextensionsarepresented in detail, along with the necessary background information. The second stage of the thesis is comprised of three parts. In the first part, an outranking method is constructed using hesitant intuitionitic fuzzy linguistic term sets (HIFLTSs) for ranking alternatives in MCGDM problems based on intuitionistic fuzzy support function (IFSF), intuitionistic fuzzy risk function (IFRF),intuitionisticfuzzycredibilityfunction(IFCF)andthenetoutrankingflowindex(NOFI).Inthesecond part, the notion of directional Hausdorff distance between two HIFLTSs has been proposed and used it to formulate ELECTRE-based outranking method in hesitant intuitionistic fuzzy linguistic (HIFL) environment. The linguistic scale functions (LSFs) are used in two methodologies as mentioned above to conduct the transformation mechanism between qualitative information and quantitative data. In the third part, the notions of some distance measures between two HIFLTSs and weighted distance measures between two collections xiv xv of HIFLTSs are proposed and analyzed for discrete and continuous cases, and then used them to rank the alternatives in MCGDM problem. The third stage of the thesis is also comprised of two parts. In the first part, two outranking methods are developed with intuitionistic 2-tuple fuzzy linguistic (I2FL) information and a comparative discussion is conductedtodeterminetheadvantagesoftheproposedmethodovertheother. Inthesecondpart, afuzzyAHP (analytic hierarchy process) methodology for intuitionistic 2-tuple fuzzy linguistic sets (I2FLSs) is proposed and applied to solve MCDM problems. Finally, illustrative numerical examples are provided to elaborate the proposed methods with respect to the support of decision processes. This thesis closes with the conclusion along with some future research directions in this area.
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جیزہ

جیزہ

مسافر کی اگلی منزل جیزہ تھی جو زیریں قاہرہ سے کوئی اٹھارہ بیس کلومیٹر کے فاصلے پر واقع ہے یہاں لے جانے کا انتظام دکتورہ بسنت کے ذمے تھا ۔ان کے ہمراہ ان کے دو بچے اور خوش پوش و خوش شکل شوہر احمد بھی تھا ۔احمد سے معانقے کے بعد ہم ان کی گاڑی میں بیٹھے اور جیزہ کی طرف روانہ ہوئے ۔دریائے نیل ایسے ہم رکاب تھا جیسے کسی نے اہرام تک سیاحوں کو پہچانے کی ذمہ داری لگائی ہو ۔آپ قاہرہ کے جس بھی حصے میں ہوں نیل اپنی موجودگی اور ہم رکابی کا احساس دلاتا ہے ۔مصری جیزہ کو گیزہ بولتے ہیں ۔یہاں دنیا کے سات عجوبو ں میں سے ایک عجوبہ آباد ہے جو اصل میں فراعین مدفن ہیں ۔قاہرہ سے جیزہ تک سڑک کشادہ ہے مگر پشاور کے قصہ خوانی بازار اور لاہور کی پرانی انار کلی کی طرح سڑک ریڑھی بانوں ،چائے اور شیشہ کے کھوکھوں ،غیر قانونی بس اڈوں اور سڑک پر چونچ نکالی ویگنوں ،بساط بچھائے سنیا سیوں اور میوہ و سبزی فروشوں نے تل دھرنے کو جگہ نہیں چھوڑی تھی ۔یہ تو دکتورہ بسنت کے شوہر احمد کا کمال تھا کہ اس اژدھام میں بھی پر سکون اعصاب کے ساتھ گاڑی کو اہرام تک بہ حفاظت پہنچایا ۔احمد صاحب نے سیاحوں کی بھیڑ میں جا کر ہمارے لیے ٹکٹ خریدے ۔ہم پیدل ایک ڈھلوان پر روانہ ہوئے ہمارے سامنے تین مخروطی اہرام اپنے مکمل قد کاٹھ کے ساتھ ایستادہ تھے۔دکتورہ بسنت نے کہا یہ مصر کے عظیم اہرام ہیں ۔یہ خوفو کا اہرام ہے دوسرا خافراع کا اور تیسرا میکادر کا ہے ۔میں نے پوچھا اور ابولہول کہاں ہے انھوں نے ہاتھ کے اشارے سے کہا وہ بیٹھا ہے مگر ہم اس کی پشت پر ہیں اس کا چہرہ دیکھنے نیچے جا نا...

COMPARATİVE ANALYSİS OF PUBLİC AND PRİVATE SCHOOLS İN THE PERSPECTİVE OF QUALİTY EDUCATİON

Whenever we chronically morph into the history of the American intervention in Afghanistan it adheres to the fact that the war on terror was a rigid response of US aggression towards their failure in resisting the 9/11 attack of 2001 or for the sack of utter humanity or humanitarian rights. But on the contrary, many analysts and scholars on realistic ground justify the notion of war on terror as a strategic war which none the less determined the most figure of sustenance of US- hegemony in South Asia along with enormous illustrations of uncountable violation of human rights or the right of liberty the US administration, under the prism of liberalism. And now when the NATO alliance has existed from Afghanistan after a long constitutive war of 20 years without a remediate response, it enacts a dispersed or iconic philosophical thought that was the war on terror was a success or utter failure? The article will foretell the events that led to the war on terror from USA perspectives and policies its decisive defeat along with the rising of Taliban government with future threat and ties of it among state, under the prism of realism or the realist school of thought.

Neem Derivatives Based Integrated Pest Management of Cotton.

Field and laboratory experiments were conducted to see the effect of neem (Azadirachta indica A. Juss) oil at 1, 2% and neem seed water extract at 2, 4% alone, in combination with bio-control agents (Trichogramma chilonis and Chrysoperla carnea) with that of synthetic chemicals viz. Actara 24WG (60gmha-1), Imidacloprid 25%WP (625 gmha-1), Fenpropathrin 20EC (750mLha-1), Polytrin-C 440EC (1250mLha-1) and proclaim 19EC (500mLha-1) against sucking insects i.e. whitefly (Bemisia tabaci Genn.), Jassid (Emrosca devastans Dist.), thrips (Thrips tabaci Lind,) and chewing insects i.e. spotted bollworm (Earias insulana Boisd.), american bollworm (Helicoverpa armigera Hubner) and pink bollworm (Pectinophora gossypiella Saund.) of cotton (CIM-499). Crop was sprayed 5 times during the cotton season. First spray was carried out 45 days after the date of sowing of crop and repeated at an interval of 15 days of first spray and so on. Data of population dynamics of sucking insects were recorded 24 hours before and then, 24, 168 and 336 hours after each spray. The data for American and spotted bollworms infestation were recorded 168 and 336 hours after each spray while for Pectinophora gossypiella, the bolls were collected on 15th of August, 14th September and 15th October 2005 and 2006 and dissected in the Laboratory to calculate the infestation. For the yield of seed cotton, the picking was started when 50 % bolls were open/ready for picking and was continued up to end of crop. Overall, after synthetic insecticides, neem oil 2%+bio-control agents (Trichogramma chilonis and Chrysoperla carnea) reduced significantly (p<0.05) % population of sucking insects (thrips. whitefly and jassid) and % infestation of bollworms (American and spotted) of cotton (168 hours after each spray). In case of pink bollworm, the bolls collected on 15th August, 15th September and 15th October, effect of treatmentsand time period/observations were found significant (p<0.05) on % damage/infestation of pink bollworm.The lowest mean % damage (5.00%) recoded in the treatment treated with insecticides followed by N2+B (8.89 %), N1+B (10%) and W4+B (11.11%) which performed similar while the highest mean % damage recorded in W2 with 22.78 % and N1 with 21.11 % which performed similar compared with control (25.56%). Neem oil 2 % (14.44 %) and W4 (17.18%) gave similar results. Best results were received from the bolls collected during 15th August (8.83%) damage. Maximum yield of seed cotton (1494 kg) was received in the plot treated with N2+B after insecticide (1895 kg). Neem derivatives at all tested concentrations have significant negative effect on settling response of whitefly and jassid on cotton leaves as compare with that in their respective control (untreated). Significantly lower numbers of test insects settled on neem derivatives treated leaves except N1 and W2 in spotted bollworm as compare with that in their respective control. Intensity of numbers of test insects settled on neem derivatives was lower at higher concentrations of neem derivatives due to repellent/deterrent effect of neem derivatives. Neem derivatives at all concentrations affected development (larvaeandpupae) of spotted bollworm. Significantly minimum survival of larvae and maximum larval mortality and less pupal formation was observed in Fenpropathrin 20EC application due to its toxic effect while neem derivatives at higher concentration also affected survival of larvae and resulted into larval mortality due to toxic effect of neem derivatives. Pupal formation was affected at higher tested concentrations of neem derivatives due to growth regulating effect of neem derivatives. Adult formation was not significantly affected by any treatment. The longest larval and pupal duration were observed at higher concentrations of neem derivatives due to growth regulating effect of neem derivatives. In laboratory trials, all the neem derivatives (indirect effect) had non-significant differences on the parasitism by Trichogramma chilonis on Helicoverpa eggs. Though, in the N2 treatment, % parasitization was significantly lower (P<0.05) than % parasitization in W2 treatment (indirect and direct effect). Adult emergence of T. chilonis was not affected by the concentrations of neem derivatives. Percent parasitization of Helicoverpa eggs by T. chilonis were inhibited (indirectand direct effect) in treatment of Proclaim 19EC (Insecticide) along with adult emergence too due to toxic effect of Proclaim 19EC. Neem derivatives at different concentrations and insecticide have significantly altered feeding/consumption ability of predator (p<0.05). The highest % consumption of aphids by Chrysoperla carnea was observed in the treatments of low concentrations of neem derivatives while the lowest % consumption of aphids was noted in the treatments in insecticide and higher concentrations of neem derivatives. Aphid % consumption by Chrysoperla carnea at different prey (aphids) densities were significantly different (p<0.05). Percent consumption of 75.87% was recorded when offered 16 aphids day-1 to predator. No significant differences were observed in % consumption when offered 32, 48, 64 and 80 aphids day-1 to predator. Effect of treatments (neem derivatives at different concentrations and insecticide) and different instars of Chrysoperlacarnea were found significant (P<0.05) on % consumption/feeding of aphids. The highest reduction in prey % consumption rate by Chrysoperla carnea was observed in Imidacloprid 25%WP application (31.77%) followed by N2(69.19%) and W4 (70.61%) while the lowest reduction in prey % consumption rate by Chrysoperla carnea was observed in the treatment of N1 (91.77%) and W2 (91.44%) as compared with control (94.94%). The highest % consumption of aphids was observed by the 2nd instar larvae (75.94%) followed by 1st instar (74.82%) of Chrysoperla carnea.