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Bell-Shaped Inequalities in Hexa-Parametric Family of Similarity Measurement

Thesis Info

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Author

Javed, Muhammad Aslam

Program

PhD

Institute

National University of Computer and Emerging Sciences

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/12680/1/Muhammad%20Aslam%20Javed_Maths_2018_FAST%20NU_PRR.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676725571590

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In this thesis, we study the T-transitive family of cardinality-based fuzzy similarity and inclusion measures and obtain the necessary and su cient parametric conditions to characterize the T-transitive members of the parametric family of the cardinality based similarity measure. Firstly, In crisp logic every object is similar to itself with degree of reflexivity 1, while the degree of reflexivity in fuzzy logic can be any value in the unit interval, (0; 1]. This behaviour of a fuzzy set is used to enlighten the concept of similarity and inclusion measures and discovering the relations between the parameters of the transitive members of a family of cardinality-based fuzzy measure. We present meta-theorems stating general conditions ensuring that certain inequalities for cardinalities of ordinary sets are preserved under fuzzification, when adopting a scalar approach to fuzzy set cardinality. The conditions pertain to the commutative conjunctor used for modelling fuzzy set intersection. In particular, this conjunctor should fulfil a number of Bell-type inequalities. The advantage of these meta-theorems is that repetitious calculations can be avoided. This is illustrated in the demonstration of the Łukasiewicz transitivity of fuzzified versions of the simple matching coe cient and the Jaccard coe cient, or equivalently, the triangle inequality of the corresponding dissimilarity measures. Finally, a new class of rational cardinality-based similarity measure using multiplication of cardinalities is introduced and discussed the monotonicity, boundary conditions and transitivity.
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دولتِ دردِ یار مل جائے

دولتِ دردِ یار مل جائے
زندگی کو قرار مل جائے

عشق پابندِ رنگ و ذات نہیں
دل کا جس سے بھی تار مل جائے

وقتِ رخصت ہے اب خدا کے لیے
ہم سے وہ ایک بار مل جائے

اُس کا ملنا خزاں رسیدہ کو
جیسے فصلِ بہار مل جائے

درد مندوں کو رشک ہو تائبؔ
درد یوں بے شمار مل جائے

The veil in the west countries between the religious freedons and secular codes

يأتي حجاب المرأة المسلمة في صدارة النقاشات السياسية على اعتباره مصدر تهديد حقيقي لعلمانية الغرب وعقلانيته، فأصبح الحجاب هاجسًا مقلقًا للغرب خاصة بعد أحداث 11 سبتمبر 2001 الدامية والتي أدت إلى تزايد العداء ضد الإسلام والمسلمين ولعل أبرز مظاهره حجاب المرأة المسلمة الذي تعرض لحملات تشويه كبيرة وتمثل الوجه الآخر للإرهاب بل هي صانعه. وعليه، تهدف هذه الدراسة إلى إبراز الحملة التي تتعرض لها المرأة المسلمة في أوروبا وتحديدا فرنسا وهذا من خلال قراءة وتحليل قانون حظر الرموز الدينية الذي استهدف الحجاب بالدرجة الأولى. ولتحقيق هدف الدراسة فقد استخدمت الباحثتان المنهج الوصفي التحليلي من خلال استعراض مختلف الرواسب التاريخية المتحكمة في الظاهرة محل الدراسة، وتوصلت الدراسة إلى مجموعة من النتائج أهمها: يمثل قانون حظر الحجاب في الدول الغربية ممارسة عنصرية ضد الإسلام والمسلمين، ويمثل موقف الدول الغربية من حجاب المرأة المسلمة تكريسا لخطاب الكراهية المعادية للإسلام والمسلمين والحرص على قيادة العالم والهيمنة عليه سياسيا وثقافيا وحضاريا

Production and Biochemical Assay of Antioxidants Enriched Broiler Meat

The present study was conducted to determine the effect of α-lipoic acid, α-tocopherol and wheat germ oil on the status of antioxidants, quality and lipid stability of broiler meat and meat product. One day old (180) broilers were fed with different feeds containing antioxidants i.e natural and synthetic α-tocopherol and α-lipoic acid during the two experimental years (2010- 12). The feed treatments possessed significant variation in the body weight gain and FCR while no influence found on the feed intake. The broilers fed on wheat germ oil (natural α-tocopherol) gained maximum weight (2451.97g & 2466.07g) during the experimental years 2010-11 & 2011-12, respectively. Total phenolic contents, DPPH and ferric reducing antioxidant power of breast and leg broiler meat differed significantly due to different feed treatments. Total phenolic contents were found higher in the broilers fed on T 5 (natural α-tocopherol and α-lipoic acid) in breast meat (162.73mg GAE/100g & 162.18mg GAE/100g) and leg meat (149.67mg GAE/100g & 146.07mg GAE/100g) during the experimental years 2010-11 & 2011-12, respectively. The DPPH and ferric reducing antioxidant power assay were also found higher in breast and leg meat fed on T 5 (natural α-tocopherol and α-lipoic acid). The production of malondialdehydes in the breast and leg meat increased with progressive increase in the time period. The deposition of α-tocopherol (AT) and α-lipoic acid (ALA) contents were found higher in the broilers fed on T 5 (natural α-tocopherol and α-lipoic acid) in breast and leg meat during both experimental years. The composition of saturated and unsaturated fatty acids in the breast and the leg meat of the broilers were significantly affected by different feed treatments. The antioxidant enzymes and the serum bio-chemical profile were also influenced statistically by the feed treatments. The total cholesterol (113.42mg/dL & 113.62 mg/dL) and triglycerides (52.29 mg/dL & 49.19mg/dL) were found the lowest in broilers fed on T 5 (natural α-tocopherol and α-lipoic acid) during the experimental years 2010-11 and 2011-12, respectively. The physico-chemical analysis of the nuggets showed that the feed treatments exerted significant effect on the pH, color, water activity, texture and TBARS of the nuggets made during storage. The feed treatments exhibited significant effect on the appearance, flavor, taste and overall acceptability of the nuggets during storage. The combination of natural and synthetic antioxidants in feed are more beneficial in increasing the antioxidant potential, stability and the quality of the broiler meat and also helped in lowering the cholesterol level and improves the polyunsaturated fatty acid profile of the broiler meat.