An interval type-2 fuzzy TOPSIS for MAGDM applied to solar power systems

This article proposes a new version of the technique of order preference by similarity to an ideal solution (TOPSIS) to solve fuzzy multi-attribute group decision making (MAGDM) problems using trapezoidal interval type-2 fuzzy sets (IT2FSs). The traditional TOPSIS ranks the alternatives according to their relative degree of closeness to the ideal solutions. On the other hand, TOPSIS based on similarity measure ranks the alternatives according to their total degree of similarity to the ideal solutions. This study extends TOPSIS using similarity measure using map distance to IT2FSs. First, the similarity measure based on map distance for interval-valued fuzzy sets (IVFSs) is extended to encompass IT2FSs due to the deficiency in IT2FSs similarity measures. Then, TOPSIS using similarity measure is applied. Hence, fuzzy MAGDM problems can be handled in a more flexible intelligent manner and avoiding defuzzification with its drawbacks. An illustrative example is given to explain the approach. Then, a practical problem in assessing thermal energy storage technologies in solar power systems is solved, where the weights of the attributes and the performance of the qualitative attributes are linguistic variables modeled by IT2FSs. The reliability of two normalization techniques is examined and the impact of the theoretical and empirical reference points on the solution is investigated.

Mapping Quantitative Trait Loci for Cold Tolerance in Rice under Germination Stage by Whole Genome Resequencing and Analysis of Candidate Genes

Low-temperature stress significantly affects rice growth and causes serious loss of yield in temperate and high-altitude areas of the world. Rice lacks cold tolerance (CT) at germination stage, which reduces seedling vigor, hinders crop establishment and crop growth, and even affect direct-seeded rice. A chromosome segment substitution line (CSSL) population, including 271 lines, was derived from cold-tolerant donor wild rice Y11 (Oryza rufipogon Griff.) crossed with cold-sensitive rice variety GH998 to explore new genetic resource with CT and further investigate quantitative trait loci (QTLs) responsible for germination properties under low temperature. The germination rates of Y11 and GH998 were 95% and 73.33%, respectively, under cold stress. The range of variance of the germination rate in the CSSLs was between 0% and 98.33%. In addition, the CSSLs and parents were sequenced via whole genome resequencing. Results showed 33.46, 33.36, and 475.65 Gbp of clean data of GH998, Y11, and CSSLs, respectively. In 12 linkage groups, the general map distance was 941.49 cM, while the average map distance was 0.63 cM. On thebasis of 1484 bins, a high-density linkage map of the CSSLs was developed. The average distance of the linkage map ranged from 0.42 cM to 1.39 cM. The phenotype of CSSLs under low temperature and 615,466 single nucleotide polymorphisms (SNPs) between Y11 and GH998 were used for QTL analysis. Two QTLs, namely, low-temperature germination 8 (qLTG8) and qLTG11, were responsible for the germination ability under low temperature in rice. qLTG8 was mapped on chromosome 8, and it explained 14.55% of the total phenotypic variation explained (PVE) during the germination stage. qLTG8 was in 195.5 kb, and 32 genes were predicted based on the Rice Genome Annotation Project. qLTG11 was located on chromosome 11, and it explained 14.31% of the total PVE during the germination stage. qLTG11 was mapped at a narrow distance in 78.83 kb, and only 12 genes fall within this range according to the Rice Genome Annotation Project. The expression patterns of these 32 genes in the qLTG8 region demonstrated that LOC_Os08g01120, LOC_Os08g01140, LOC_Os08g01390, LOC_Os08g01170, and LOC_Os08g01380 were highly induced by cold stress in Y11 compared with GH998. The expression patterns of 12 genes in the qLTG11 region suggested that LOC_Os11g32880 and LOC_Os11g32940 were highly induced by cold stress in Y11 compared with GH998. This study provides an effective method, i.e., constructing CSSLs of wild rice, to explore excellent genes of wild rice and create new genetic resources. The results also provide a basis for identifying the genes underlying qLTG8 and qLTG11, indicating that QTL could be used for genetic improvement of CT in cultivar rice.

Identification of QTL for resistance to root rot in sweetpotato (Ipomoea batatas (L.) Lam) with SSR linkage maps

Background: Sweetpotato root rot is a devastating disease caused by Fusarium solani that seriously endangers the yield of sweetpotato in China. Although there is currently no effective method to control the disease, breeding of resistant varieties is the most effective and economic option. Moreover, quantitative trait locus (QTL) associated with resistance to root rot have not yet been reported, and the biological mechanisms of resistance remain unclear in sweetpotato. Thus, increasing our knowledge about the mechanism of disease resistance and identifying resistance loci will assist in the development of disease resistance breeding. Results: In this study, we constructed genetic linkage maps of sweetpotato using a mapping population consisting of 300 individuals derived from a cross between Jizishu 1 and Longshu 9 by simple sequence repeat (SSR) markers, and mapped seven QTLs for resistance to root rot. In total, 484 and 573 polymorphic SSR markers were grouped into 90 linkage groups for Jizishu 1 and Longshu 9, respectively. The total map distance for Jizishu 1 was 3,974.24 cM, with an average marker distance of 8.23 cM. The total map distance for Longshu 9 was 5,163.35 cM, with an average marker distance of 9.01 cM. Five QTLs ( qRRM_1 , qRRM_2 , qRRM_3, qRRM_4 , and qRRM_5 ) were located in five linkage groups of Jizishu 1 map explaining 52.6–57.0% of the variation. Two QTLs ( qRRF_1 and qRRF_2 ) were mapped on two linkage groups of Longshu 9 explaining 57.6% and 53.6% of the variation, respectively. Furthermore, 71.4% of the QTLs positively affected the variation. Three of the seven QTLs, qRRM_3 , qRRF_1 , and qRRF_2 , were colocalized with markers IES43-5mt, IES68-6fs**, and IES108-1fs, respectively. Conclusions: To our knowledge, this is the first report on the construction of a genetic linkage map for purple sweetpotato (Jizishu 1) and the identification of QTLs associated with resistance to root rot in sweetpotato using SSR markers. These QTLs will have practical significance for the fine mapping of root rot resistance genes and play an important role in sweetpotato marker-assisted breeding.

Identification of QTL for resistance to root rot in sweetpotato (Ipomoea batatas (L.) Lam) with SSR linkage maps

Background Sweetpotato root rot is a devastating disease caused by Fusarium solani that seriously endangers the yield of sweetpotato in China. Although there is currently no effective method to control the disease, breeding of resistant varieties is the most effective and economic option. Moreover, quantitative trait locus (QTL) associated with resistance to root rot have not yet been reported, and the biological mechanisms of resistance remain unclear in sweetpotato. Thus, increasing our knowledge about the mechanism of disease resistance and identifying resistance loci will assist in the development of disease resistance breeding. Results In this study, we constructed genetic linkage maps of sweetpotato using a mapping population consisting of 300 individuals derived from a cross between Jizishu 1 and Longshu 9 by simple sequence repeat (SSR) markers, and mapped seven QTLs for resistance to root rot. In total, 484 and 573 polymorphic SSR markers were grouped into 90 linkage groups for Jizishu 1 and Longshu 9, respectively. The total map distance for Jizishu 1 was 3974.24 cM, with an average marker distance of 8.23 cM. The total map distance for Longshu 9 was 5163.35 cM, with an average marker distance of 9.01 cM. Five QTLs (qRRM_1, qRRM_2, qRRM_3, qRRM_4, and qRRM_5) were located in five linkage groups of Jizishu 1 map explaining 52.6–57.0% of the variation. Two QTLs (qRRF_1 and qRRF_2) were mapped on two linkage groups of Longshu 9 explaining 57.6 and 53.6% of the variation, respectively. Furthermore, 71.4% of the QTLs positively affected the variation. Three of the seven QTLs, qRRM_3, qRRF_1, and qRRF_2, were colocalized with markers IES43-5mt, IES68-6 fs**, and IES108-1 fs, respectively. Conclusions To our knowledge, this is the first report on the construction of a genetic linkage map for purple sweetpotato (Jizishu 1) and the identification of QTLs associated with resistance to root rot in sweetpotato using SSR markers. These QTLs will have practical significance for the fine mapping of root rot resistance genes and play an important role in sweetpotato marker-assisted breeding.

Construction of SSR linkage maps and identification of QTL for resistance to root rot in sweetpotato (Ipomoea batatas (L.) Lam.)

Background: Sweetpotato root rot is a devastating disease caused by Fusarium solani that causes significant yield losses of sweetpotato in China. There is currently no effective method to control the disease. The breeding of resistant varieties is the most effective and economic way to control the disease. To date, quantitative trait locus (QTL) for resistance to root rot have not been reported and the biological mechanisms of resistance remain unclear in sweetpotato. Thus, it is necessary and worthwhile to identify resistance loci to help develop disease-resistant varieties. Results: In this study, we constructed genetic linkage maps of sweetpotato using a mapping population consisting of 300 individuals derived from a cross between Jizishu 1 and Longshu 9 by simple sequence repeat (SSR) markers, and mapped seven QTLs for resistance to root rot. In total, 484 and 573 polymorphic SSR markers were grouped into 90 linkage groups for Jizishu 1 and Longshu 9, respectively. The total map distance for Jizishu 1 was 3,974.24 cM, with an average marker distance of 8.23 cM. The total map distance for Longshu 9 was 5,163.35 cM, with an average marker distance of 9.01 cM. Five QTLs ( qRRM_1 , qRRM_2 , qRRM_3, qRRM_4 , and qRRM_5 ) were located in five linkage groups of Jizishu 1 map explaining 52.6-57.0% of the variation. Two QTLs ( qRRF_1 and qRRF_2 ) were mapped on two linkage groups of Longshu 9 explaining 57.6% and 53.6% of the variation. 71.4 % of the QTLs had a positive effect on the variation. Three of the seven QTLs, qRRM_3 , qRRF_1 , and qRRF_2 , were colocalized with markers IES43-5mt, IES68-6fs**, and IES108-1fs, respectively. Conclusions: To our knowledge, this is the first report on the construction of a genetic linkage map for purple sweetpotato (Jizishu 1) and the identification of QTLs associated with resistance to root rot in sweetpotato using SSR markers. These QTLs will have practical significance for the fine mapping of root rot resistance genes and play an important role in sweetpotato marker-assisted breeding.

Construction of SSR linkage maps and identification of QTL for resistance to root rot in sweetpotato (Ipomoea batatas (L.) Lam.)

Background: Sweetpotato root rot is a devastating disease caused by Fusarium solani that causes significant yield losses of sweetpotato in China. There is currently no effective method to control the disease. The breeding of resistant varieties is the most effective and economic way to control the disease. To date, quantitative trait locus (QTL) for resistance to root rot have not been reported and the biological mechanisms of resistance remain unclear in sweetpotato. Thus, it is necessary and worthwhile to identify resistance loci to help develop disease-resistant varieties. Results: In this study, we constructed genetic linkage maps of sweetpotato using a mapping population consisting of 300 individuals derived from a cross between Jizishu 1 and Longshu 9 by simple sequence repeat (SSR) markers, and mapped seven QTLs for resistance to root rot. In total, 484 and 573 polymorphic SSR markers were grouped into 90 linkage groups for Jizishu 1 and Longshu 9, respectively. The total map distance for Jizishu 1 was 3,974.24 cM, with an average marker distance of 8.23 cM. The total map distance for Longshu 9 was 5,163.35 cM, with an average marker distance of 9.01 cM. Five QTLs ( qRRM_1 , qRRM_2 , qRRM_3, qRRM_4 , and qRRM_5 ) were located in five linkage groups of Jizishu 1 map explaining 52.6-57.0% of the variation. Two QTLs ( qRRF_1 and qRRF_2 ) were mapped on two linkage groups of Longshu 9 explaining 57.6% and 53.6% of the variation. 71.4 % of the QTLs had a positive effect on the variation. Three of the seven QTLs, qRRM_3 , qRRF_1 , and qRRF_2 , were colocalized with markers IES43-5mt, IES68-6fs**, and IES108-1fs, respectively. Conclusions: To our knowledge, this is the first report on the construction of a genetic linkage map for purple sweetpotato (Jizishu 1) and the identification of QTLs associated with resistance to root rot in sweetpotato using SSR markers. These QTLs will have practical significance for the fine mapping of root rot resistance genes and play an important role in sweetpotato marker-assisted breeding.

Inheritance and mapping of drought tolerance in soybean at seedling stage using bulked segregant analysis

Occurrence of drought under rainfed conditions is the foremost factor responsible for yield reduction in soybean. Developing soybean cultivars with an inherent ability to withstand drought would immensely benefit the soybean production in rainfed areas. In the present study, F2 derived mapping populations were developed by crossing drought tolerant (PK 1180, SL 46) and susceptible (UPSL 298, PK 1169) genotypes to investigate the inheritance of seedling survival drought mechanisms and to identify simple-sequence repeat (SSR) markers associated with them, using bulked segregant analysis. Parents as well as a F2 derived mapping population were screened for drought tolerance based on seedling survivability under controlled conditions. Segregation analysis of F2 population derived from a cross between PK 1180 × UPSL 298 was previously shown to have a 3:1 tolerant to susceptible ratio and a probability of 0.61 at a χ2(3:1) value of 0.258. This was confirmed in another F2 population derived from a cross between PK 1169 × SL 46 with a χ2(3:1) value of 0.145 obtained at a probability of 0.70. One SSR marker Satt277 showed polymorphism between contracting bulks (tolerant and susceptible) out of 50 polymorphic markers identified during parental polymorphism. Single marker analysis suggested that the marker, Satt277 is linked to seedling survival drought tolerance and is located on chromosome linkage group C2 (chr 6) with a map distance of 3.40 cM. The tolerant genotypes identified could be used as a donor in soybean improvement programs. The marker identified can be used in marker-assisted selection while screening large collection of germplasm.

Group Decision Analysis Algorithms with EDAS for Interval Fuzzy Sets

The purpose of this paper is proposing, analyzing and assessing two new algorithms of the EDAS method for group multi-criteria decision making with fuzzy sets. In the first proposed EDAS extension for distance measure between two interval Type-2 fuzzy numbers is applied Graded Mean Integration Representation (GMIR). The second algorithm takes into account the proximity between the fuzzy alternatives and its similarity measure is Map Distance Operator (MDO). The two new algorithms are verified by a numerical example. Comparative analysis of obtained rankings demonstrates that GMIR extension is more reliable as an interval Type-2 fuzzy alternative to Evaluation based on Distance from Average Solution (EDAS). In case that time is of the essence, the MDO EDAS could be preferred.

Sonograms of Desire, Medieval and Modern

This essay unites musicology's concern with the discursive force of organized sound, and sound studies' concern with the discursive force of sonic environments, recording formats and media networks, to consider how the widely transmitted medieval song ‘Lanqan li jorn son lonc en mai’ attributed to Jaufre Rudel produces sonograms that map distance and desire in the chasm between the Islamic East and the Christian West. The first half of the essay examines ‘Lanqan li jorn son lonc en mai’ in the context of transcultural sound networks, medieval notions of global geography and the material formatting of songs. The second half considers a 1977 recording of the song by the Clemencic Consort, and the 2000 opera by Finish composer Kaija Saariaho called L'Amour de loin with a libretto by the Lebanese author Amin Maalouf. In both cases, the song is sonically reimagined to express modern-day strife in the Middle East.